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Finding the Third Proportional to 31,174.88 and 64,567.13

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Solution

The third proportional to 31,174.88 and 64,567.13 is: 133,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.88 : 64,567.13 = 64,567.13 : x
  2. Step 2: Convert to fraction form
    31,174.88/64,567.13 = 64,567.13/x
  3. Step 3: Cross multiply
    31,174.88x = 64,567.13 × 64,567.13
  4. Step 4: Simplify right side
    31,174.88x = 4,168,913,630.77
  5. Step 5: Solve for x
    x = 4,168,913,630.77/31,174.88
  6. Step 6: Final answer
    x = 133,726.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.