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Finding the Third Proportional to 5,762 and 8,657

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Solution

The third proportional to 5,762 and 8,657 is: 13,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762 : 8,657 = 8,657 : x
  2. Step 2: Convert to fraction form
    5,762/8,657 = 8,657/x
  3. Step 3: Cross multiply
    5,762x = 8,657 × 8,657
  4. Step 4: Simplify right side
    5,762x = 74,943,649
  5. Step 5: Solve for x
    x = 74,943,649/5,762
  6. Step 6: Final answer
    x = 13,006.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.