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Finding the Third Proportional to 29,712.75 and 65,257.50

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Solution

The third proportional to 29,712.75 and 65,257.50 is: 143,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712.75 : 65,257.50 = 65,257.50 : x
  2. Step 2: Convert to fraction form
    29,712.75/65,257.50 = 65,257.50/x
  3. Step 3: Cross multiply
    29,712.75x = 65,257.50 × 65,257.50
  4. Step 4: Simplify right side
    29,712.75x = 4,258,541,306.25
  5. Step 5: Solve for x
    x = 4,258,541,306.25/29,712.75
  6. Step 6: Final answer
    x = 143,323.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.