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Finding the Third Proportional to 10,509 and 14,742

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Solution

The third proportional to 10,509 and 14,742 is: 20,680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509 : 14,742 = 14,742 : x
  2. Step 2: Convert to fraction form
    10,509/14,742 = 14,742/x
  3. Step 3: Cross multiply
    10,509x = 14,742 × 14,742
  4. Step 4: Simplify right side
    10,509x = 217,326,564
  5. Step 5: Solve for x
    x = 217,326,564/10,509
  6. Step 6: Final answer
    x = 20,680.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.