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Finding the Third Proportional to 10,118 and 13,521

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Solution

The third proportional to 10,118 and 13,521 is: 18,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118 : 13,521 = 13,521 : x
  2. Step 2: Convert to fraction form
    10,118/13,521 = 13,521/x
  3. Step 3: Cross multiply
    10,118x = 13,521 × 13,521
  4. Step 4: Simplify right side
    10,118x = 182,817,441
  5. Step 5: Solve for x
    x = 182,817,441/10,118
  6. Step 6: Final answer
    x = 18,068.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.