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Finding the Third Proportional to 14,524 and 31,272

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Solution

The third proportional to 14,524 and 31,272 is: 67,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524 : 31,272 = 31,272 : x
  2. Step 2: Convert to fraction form
    14,524/31,272 = 31,272/x
  3. Step 3: Cross multiply
    14,524x = 31,272 × 31,272
  4. Step 4: Simplify right side
    14,524x = 977,937,984
  5. Step 5: Solve for x
    x = 977,937,984/14,524
  6. Step 6: Final answer
    x = 67,332.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.