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Finding the Third Proportional to 5,478 and 7,342

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Solution

The third proportional to 5,478 and 7,342 is: 9,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478 : 7,342 = 7,342 : x
  2. Step 2: Convert to fraction form
    5,478/7,342 = 7,342/x
  3. Step 3: Cross multiply
    5,478x = 7,342 × 7,342
  4. Step 4: Simplify right side
    5,478x = 53,904,964
  5. Step 5: Solve for x
    x = 53,904,964/5,478
  6. Step 6: Final answer
    x = 9,840.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.