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Finding the Third Proportional to 23,598.84 and 45,999.77

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Solution

The third proportional to 23,598.84 and 45,999.77 is: 89,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598.84 : 45,999.77 = 45,999.77 : x
  2. Step 2: Convert to fraction form
    23,598.84/45,999.77 = 45,999.77/x
  3. Step 3: Cross multiply
    23,598.84x = 45,999.77 × 45,999.77
  4. Step 4: Simplify right side
    23,598.84x = 2,115,979,156.30
  5. Step 5: Solve for x
    x = 2,115,979,156.30/23,598.84
  6. Step 6: Final answer
    x = 89,664.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.