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Finding the Third Proportional to 29,734.59 and 43,780.50

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Solution

The third proportional to 29,734.59 and 43,780.50 is: 64,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734.59 : 43,780.50 = 43,780.50 : x
  2. Step 2: Convert to fraction form
    29,734.59/43,780.50 = 43,780.50/x
  3. Step 3: Cross multiply
    29,734.59x = 43,780.50 × 43,780.50
  4. Step 4: Simplify right side
    29,734.59x = 1,916,732,180.25
  5. Step 5: Solve for x
    x = 1,916,732,180.25/29,734.59
  6. Step 6: Final answer
    x = 64,461.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.