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Finding the Third Proportional to 29,206.13 and 44,386.88

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Solution

The third proportional to 29,206.13 and 44,386.88 is: 67,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206.13 : 44,386.88 = 44,386.88 : x
  2. Step 2: Convert to fraction form
    29,206.13/44,386.88 = 44,386.88/x
  3. Step 3: Cross multiply
    29,206.13x = 44,386.88 × 44,386.88
  4. Step 4: Simplify right side
    29,206.13x = 1,970,194,672.27
  5. Step 5: Solve for x
    x = 1,970,194,672.27/29,206.13
  6. Step 6: Final answer
    x = 67,458.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.