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Finding the Third Proportional to 10,540 and 14,354

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Solution

The third proportional to 10,540 and 14,354 is: 19,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540 : 14,354 = 14,354 : x
  2. Step 2: Convert to fraction form
    10,540/14,354 = 14,354/x
  3. Step 3: Cross multiply
    10,540x = 14,354 × 14,354
  4. Step 4: Simplify right side
    10,540x = 206,037,316
  5. Step 5: Solve for x
    x = 206,037,316/10,540
  6. Step 6: Final answer
    x = 19,548.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.