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Finding the Third Proportional to 31,484 and 68,507

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Solution

The third proportional to 31,484 and 68,507 is: 149,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,484 : 68,507 = 68,507 : x
  2. Step 2: Convert to fraction form
    31,484/68,507 = 68,507/x
  3. Step 3: Cross multiply
    31,484x = 68,507 × 68,507
  4. Step 4: Simplify right side
    31,484x = 4,693,209,049
  5. Step 5: Solve for x
    x = 4,693,209,049/31,484
  6. Step 6: Final answer
    x = 149,066.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.