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Finding the Third Proportional to 19,432.13 and 40,246.31

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Solution

The third proportional to 19,432.13 and 40,246.31 is: 83,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,432.13 : 40,246.31 = 40,246.31 : x
  2. Step 2: Convert to fraction form
    19,432.13/40,246.31 = 40,246.31/x
  3. Step 3: Cross multiply
    19,432.13x = 40,246.31 × 40,246.31
  4. Step 4: Simplify right side
    19,432.13x = 1,619,765,669.85
  5. Step 5: Solve for x
    x = 1,619,765,669.85/19,432.13
  6. Step 6: Final answer
    x = 83,355.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.