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Finding the Third Proportional to 6,407 and 8,658

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Solution

The third proportional to 6,407 and 8,658 is: 11,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407 : 8,658 = 8,658 : x
  2. Step 2: Convert to fraction form
    6,407/8,658 = 8,658/x
  3. Step 3: Cross multiply
    6,407x = 8,658 × 8,658
  4. Step 4: Simplify right side
    6,407x = 74,960,964
  5. Step 5: Solve for x
    x = 74,960,964/6,407
  6. Step 6: Final answer
    x = 11,699.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.