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Finding the Third Proportional to 31,524 and 64,488

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Solution

The third proportional to 31,524 and 64,488 is: 131,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524 : 64,488 = 64,488 : x
  2. Step 2: Convert to fraction form
    31,524/64,488 = 64,488/x
  3. Step 3: Cross multiply
    31,524x = 64,488 × 64,488
  4. Step 4: Simplify right side
    31,524x = 4,158,702,144
  5. Step 5: Solve for x
    x = 4,158,702,144/31,524
  6. Step 6: Final answer
    x = 131,921.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.