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Finding the Third Proportional to 5,132 and 8,506

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Solution

The third proportional to 5,132 and 8,506 is: 14,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132 : 8,506 = 8,506 : x
  2. Step 2: Convert to fraction form
    5,132/8,506 = 8,506/x
  3. Step 3: Cross multiply
    5,132x = 8,506 × 8,506
  4. Step 4: Simplify right side
    5,132x = 72,352,036
  5. Step 5: Solve for x
    x = 72,352,036/5,132
  6. Step 6: Final answer
    x = 14,098.21

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.