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Finding the Third Proportional to 14,098 and 15,340

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Solution

The third proportional to 14,098 and 15,340 is: 16,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098 : 15,340 = 15,340 : x
  2. Step 2: Convert to fraction form
    14,098/15,340 = 15,340/x
  3. Step 3: Cross multiply
    14,098x = 15,340 × 15,340
  4. Step 4: Simplify right side
    14,098x = 235,315,600
  5. Step 5: Solve for x
    x = 235,315,600/14,098
  6. Step 6: Final answer
    x = 16,691.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.