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Finding the Third Proportional to 29,151 and 62,446.50

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Solution

The third proportional to 29,151 and 62,446.50 is: 133,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,151 : 62,446.50 = 62,446.50 : x
  2. Step 2: Convert to fraction form
    29,151/62,446.50 = 62,446.50/x
  3. Step 3: Cross multiply
    29,151x = 62,446.50 × 62,446.50
  4. Step 4: Simplify right side
    29,151x = 3,899,565,362.25
  5. Step 5: Solve for x
    x = 3,899,565,362.25/29,151
  6. Step 6: Final answer
    x = 133,771.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.