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Finding the Third Proportional to 5,272 and 7,417

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Solution

The third proportional to 5,272 and 7,417 is: 10,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272 : 7,417 = 7,417 : x
  2. Step 2: Convert to fraction form
    5,272/7,417 = 7,417/x
  3. Step 3: Cross multiply
    5,272x = 7,417 × 7,417
  4. Step 4: Simplify right side
    5,272x = 55,011,889
  5. Step 5: Solve for x
    x = 55,011,889/5,272
  6. Step 6: Final answer
    x = 10,434.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.