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Finding the Third Proportional to 30,874.13 and 64,171.13

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Solution

The third proportional to 30,874.13 and 64,171.13 is: 133,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.13 : 64,171.13 = 64,171.13 : x
  2. Step 2: Convert to fraction form
    30,874.13/64,171.13 = 64,171.13/x
  3. Step 3: Cross multiply
    30,874.13x = 64,171.13 × 64,171.13
  4. Step 4: Simplify right side
    30,874.13x = 4,117,933,283.77
  5. Step 5: Solve for x
    x = 4,117,933,283.77/30,874.13
  6. Step 6: Final answer
    x = 133,378.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.