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Finding the Third Proportional to 20,396.81 and 47,314.13

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Solution

The third proportional to 20,396.81 and 47,314.13 is: 109,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,396.81 : 47,314.13 = 47,314.13 : x
  2. Step 2: Convert to fraction form
    20,396.81/47,314.13 = 47,314.13/x
  3. Step 3: Cross multiply
    20,396.81x = 47,314.13 × 47,314.13
  4. Step 4: Simplify right side
    20,396.81x = 2,238,626,424.52
  5. Step 5: Solve for x
    x = 2,238,626,424.52/20,396.81
  6. Step 6: Final answer
    x = 109,753.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.