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Finding the Third Proportional to 31,239 and 67,468

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Solution

The third proportional to 31,239 and 67,468 is: 145,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239 : 67,468 = 67,468 : x
  2. Step 2: Convert to fraction form
    31,239/67,468 = 67,468/x
  3. Step 3: Cross multiply
    31,239x = 67,468 × 67,468
  4. Step 4: Simplify right side
    31,239x = 4,551,931,024
  5. Step 5: Solve for x
    x = 4,551,931,024/31,239
  6. Step 6: Final answer
    x = 145,713.08

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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.