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Finding the Third Proportional to 23,389.50 and 44,623.50

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Solution

The third proportional to 23,389.50 and 44,623.50 is: 85,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,389.50 : 44,623.50 = 44,623.50 : x
  2. Step 2: Convert to fraction form
    23,389.50/44,623.50 = 44,623.50/x
  3. Step 3: Cross multiply
    23,389.50x = 44,623.50 × 44,623.50
  4. Step 4: Simplify right side
    23,389.50x = 1,991,256,752.25
  5. Step 5: Solve for x
    x = 1,991,256,752.25/23,389.50
  6. Step 6: Final answer
    x = 85,134.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.