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Finding the Third Proportional to 2,542 and 5,465

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Solution

The third proportional to 2,542 and 5,465 is: 11,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542 : 5,465 = 5,465 : x
  2. Step 2: Convert to fraction form
    2,542/5,465 = 5,465/x
  3. Step 3: Cross multiply
    2,542x = 5,465 × 5,465
  4. Step 4: Simplify right side
    2,542x = 29,866,225
  5. Step 5: Solve for x
    x = 29,866,225/2,542
  6. Step 6: Final answer
    x = 11,749.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.