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Finding the Third Proportional to 32,914.13 and 47,877.19

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Solution

The third proportional to 32,914.13 and 47,877.19 is: 69,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914.13 : 47,877.19 = 47,877.19 : x
  2. Step 2: Convert to fraction form
    32,914.13/47,877.19 = 47,877.19/x
  3. Step 3: Cross multiply
    32,914.13x = 47,877.19 × 47,877.19
  4. Step 4: Simplify right side
    32,914.13x = 2,292,225,082.91
  5. Step 5: Solve for x
    x = 2,292,225,082.91/32,914.13
  6. Step 6: Final answer
    x = 69,642.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.