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Finding the Third Proportional to 4,374 and 6,417

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Solution

The third proportional to 4,374 and 6,417 is: 9,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374 : 6,417 = 6,417 : x
  2. Step 2: Convert to fraction form
    4,374/6,417 = 6,417/x
  3. Step 3: Cross multiply
    4,374x = 6,417 × 6,417
  4. Step 4: Simplify right side
    4,374x = 41,177,889
  5. Step 5: Solve for x
    x = 41,177,889/4,374
  6. Step 6: Final answer
    x = 9,414.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.