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Finding the Third Proportional to 29,711.25 and 66,064.50

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Solution

The third proportional to 29,711.25 and 66,064.50 is: 146,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.25 : 66,064.50 = 66,064.50 : x
  2. Step 2: Convert to fraction form
    29,711.25/66,064.50 = 66,064.50/x
  3. Step 3: Cross multiply
    29,711.25x = 66,064.50 × 66,064.50
  4. Step 4: Simplify right side
    29,711.25x = 4,364,518,160.25
  5. Step 5: Solve for x
    x = 4,364,518,160.25/29,711.25
  6. Step 6: Final answer
    x = 146,897.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.