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Finding the Third Proportional to 29,174 and 59,417.50

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Solution

The third proportional to 29,174 and 59,417.50 is: 121,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,174 : 59,417.50 = 59,417.50 : x
  2. Step 2: Convert to fraction form
    29,174/59,417.50 = 59,417.50/x
  3. Step 3: Cross multiply
    29,174x = 59,417.50 × 59,417.50
  4. Step 4: Simplify right side
    29,174x = 3,530,439,306.25
  5. Step 5: Solve for x
    x = 3,530,439,306.25/29,174
  6. Step 6: Final answer
    x = 121,013.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.