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Finding the Third Proportional to 19,532.44 and 40,449.75

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Solution

The third proportional to 19,532.44 and 40,449.75 is: 83,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.44 : 40,449.75 = 40,449.75 : x
  2. Step 2: Convert to fraction form
    19,532.44/40,449.75 = 40,449.75/x
  3. Step 3: Cross multiply
    19,532.44x = 40,449.75 × 40,449.75
  4. Step 4: Simplify right side
    19,532.44x = 1,636,182,275.06
  5. Step 5: Solve for x
    x = 1,636,182,275.06/19,532.44
  6. Step 6: Final answer
    x = 83,767.44

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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.