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Finding the Third Proportional to 31,522 and 64,484

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Solution

The third proportional to 31,522 and 64,484 is: 131,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522 : 64,484 = 64,484 : x
  2. Step 2: Convert to fraction form
    31,522/64,484 = 64,484/x
  3. Step 3: Cross multiply
    31,522x = 64,484 × 64,484
  4. Step 4: Simplify right side
    31,522x = 4,158,186,256
  5. Step 5: Solve for x
    x = 4,158,186,256/31,522
  6. Step 6: Final answer
    x = 131,913.78

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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.