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Finding the Third Proportional to 23,076 and 32,999.63

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Solution

The third proportional to 23,076 and 32,999.63 is: 47,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076 : 32,999.63 = 32,999.63 : x
  2. Step 2: Convert to fraction form
    23,076/32,999.63 = 32,999.63/x
  3. Step 3: Cross multiply
    23,076x = 32,999.63 × 32,999.63
  4. Step 4: Simplify right side
    23,076x = 1,088,975,250.14
  5. Step 5: Solve for x
    x = 1,088,975,250.14/23,076
  6. Step 6: Final answer
    x = 47,190.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.