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Finding the Third Proportional to 8,484 and 15,762

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Solution

The third proportional to 8,484 and 15,762 is: 29,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484 : 15,762 = 15,762 : x
  2. Step 2: Convert to fraction form
    8,484/15,762 = 15,762/x
  3. Step 3: Cross multiply
    8,484x = 15,762 × 15,762
  4. Step 4: Simplify right side
    8,484x = 248,440,644
  5. Step 5: Solve for x
    x = 248,440,644/8,484
  6. Step 6: Final answer
    x = 29,283.43

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.