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Finding the Third Proportional to 19,403.06 and 42,532.13

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Solution

The third proportional to 19,403.06 and 42,532.13 is: 93,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,403.06 : 42,532.13 = 42,532.13 : x
  2. Step 2: Convert to fraction form
    19,403.06/42,532.13 = 42,532.13/x
  3. Step 3: Cross multiply
    19,403.06x = 42,532.13 × 42,532.13
  4. Step 4: Simplify right side
    19,403.06x = 1,808,981,657.02
  5. Step 5: Solve for x
    x = 1,808,981,657.02/19,403.06
  6. Step 6: Final answer
    x = 93,231.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.