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Finding the Third Proportional to 29,387 and 63,193.50

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Solution

The third proportional to 29,387 and 63,193.50 is: 135,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,387 : 63,193.50 = 63,193.50 : x
  2. Step 2: Convert to fraction form
    29,387/63,193.50 = 63,193.50/x
  3. Step 3: Cross multiply
    29,387x = 63,193.50 × 63,193.50
  4. Step 4: Simplify right side
    29,387x = 3,993,418,442.25
  5. Step 5: Solve for x
    x = 3,993,418,442.25/29,387
  6. Step 6: Final answer
    x = 135,890.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.