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Finding the Third Proportional to 29,367 and 63,472.50

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Solution

The third proportional to 29,367 and 63,472.50 is: 137,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,367 : 63,472.50 = 63,472.50 : x
  2. Step 2: Convert to fraction form
    29,367/63,472.50 = 63,472.50/x
  3. Step 3: Cross multiply
    29,367x = 63,472.50 × 63,472.50
  4. Step 4: Simplify right side
    29,367x = 4,028,758,256.25
  5. Step 5: Solve for x
    x = 4,028,758,256.25/29,367
  6. Step 6: Final answer
    x = 137,186.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.