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Finding the Third Proportional to 8,476 and 13,534

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Solution

The third proportional to 8,476 and 13,534 is: 21,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476 : 13,534 = 13,534 : x
  2. Step 2: Convert to fraction form
    8,476/13,534 = 13,534/x
  3. Step 3: Cross multiply
    8,476x = 13,534 × 13,534
  4. Step 4: Simplify right side
    8,476x = 183,169,156
  5. Step 5: Solve for x
    x = 183,169,156/8,476
  6. Step 6: Final answer
    x = 21,610.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.