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Finding the Third Proportional to 3,762 and 6,534

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Solution

The third proportional to 3,762 and 6,534 is: 11,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762 : 6,534 = 6,534 : x
  2. Step 2: Convert to fraction form
    3,762/6,534 = 6,534/x
  3. Step 3: Cross multiply
    3,762x = 6,534 × 6,534
  4. Step 4: Simplify right side
    3,762x = 42,693,156
  5. Step 5: Solve for x
    x = 42,693,156/3,762
  6. Step 6: Final answer
    x = 11,348.53

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.