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Finding the Third Proportional to 10,554 and 16,712

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Solution

The third proportional to 10,554 and 16,712 is: 26,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554 : 16,712 = 16,712 : x
  2. Step 2: Convert to fraction form
    10,554/16,712 = 16,712/x
  3. Step 3: Cross multiply
    10,554x = 16,712 × 16,712
  4. Step 4: Simplify right side
    10,554x = 279,290,944
  5. Step 5: Solve for x
    x = 279,290,944/10,554
  6. Step 6: Final answer
    x = 26,463.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.