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Finding the Third Proportional to 29,725 and 44,839.50

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Solution

The third proportional to 29,725 and 44,839.50 is: 67,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,725 : 44,839.50 = 44,839.50 : x
  2. Step 2: Convert to fraction form
    29,725/44,839.50 = 44,839.50/x
  3. Step 3: Cross multiply
    29,725x = 44,839.50 × 44,839.50
  4. Step 4: Simplify right side
    29,725x = 2,010,580,760.25
  5. Step 5: Solve for x
    x = 2,010,580,760.25/29,725
  6. Step 6: Final answer
    x = 67,639.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.