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Finding the Third Proportional to 5,742 and 9,486

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Solution

The third proportional to 5,742 and 9,486 is: 15,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 9,486 = 9,486 : x
  2. Step 2: Convert to fraction form
    5,742/9,486 = 9,486/x
  3. Step 3: Cross multiply
    5,742x = 9,486 × 9,486
  4. Step 4: Simplify right side
    5,742x = 89,984,196
  5. Step 5: Solve for x
    x = 89,984,196/5,742
  6. Step 6: Final answer
    x = 15,671.23

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.