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Finding the Third Proportional to 3,585 and 5,432

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Solution

The third proportional to 3,585 and 5,432 is: 8,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585 : 5,432 = 5,432 : x
  2. Step 2: Convert to fraction form
    3,585/5,432 = 5,432/x
  3. Step 3: Cross multiply
    3,585x = 5,432 × 5,432
  4. Step 4: Simplify right side
    3,585x = 29,506,624
  5. Step 5: Solve for x
    x = 29,506,624/3,585
  6. Step 6: Final answer
    x = 8,230.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.