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Finding the Third Proportional to 3,712 and 4,088

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Solution

The third proportional to 3,712 and 4,088 is: 4,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712 : 4,088 = 4,088 : x
  2. Step 2: Convert to fraction form
    3,712/4,088 = 4,088/x
  3. Step 3: Cross multiply
    3,712x = 4,088 × 4,088
  4. Step 4: Simplify right side
    3,712x = 16,711,744
  5. Step 5: Solve for x
    x = 16,711,744/3,712
  6. Step 6: Final answer
    x = 4,502.09

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.