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Finding the Third Proportional to 8,875.20 and 13,381.14

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Solution

The third proportional to 8,875.20 and 13,381.14 is: 20,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,875.20 : 13,381.14 = 13,381.14 : x
  2. Step 2: Convert to fraction form
    8,875.20/13,381.14 = 13,381.14/x
  3. Step 3: Cross multiply
    8,875.20x = 13,381.14 × 13,381.14
  4. Step 4: Simplify right side
    8,875.20x = 179,054,819.89
  5. Step 5: Solve for x
    x = 179,054,819.89/8,875.20
  6. Step 6: Final answer
    x = 20,174.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.