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Finding the Third Proportional to 5,539 and 6,457

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Solution

The third proportional to 5,539 and 6,457 is: 7,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539 : 6,457 = 6,457 : x
  2. Step 2: Convert to fraction form
    5,539/6,457 = 6,457/x
  3. Step 3: Cross multiply
    5,539x = 6,457 × 6,457
  4. Step 4: Simplify right side
    5,539x = 41,692,849
  5. Step 5: Solve for x
    x = 41,692,849/5,539
  6. Step 6: Final answer
    x = 7,527.14

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.