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Finding the Third Proportional to 10,834 and 14,489

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Solution

The third proportional to 10,834 and 14,489 is: 19,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834 : 14,489 = 14,489 : x
  2. Step 2: Convert to fraction form
    10,834/14,489 = 14,489/x
  3. Step 3: Cross multiply
    10,834x = 14,489 × 14,489
  4. Step 4: Simplify right side
    10,834x = 209,931,121
  5. Step 5: Solve for x
    x = 209,931,121/10,834
  6. Step 6: Final answer
    x = 19,377.06

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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.