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Finding the Third Proportional to 19,891.13 and 43,233.19

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Solution

The third proportional to 19,891.13 and 43,233.19 is: 93,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.13 : 43,233.19 = 43,233.19 : x
  2. Step 2: Convert to fraction form
    19,891.13/43,233.19 = 43,233.19/x
  3. Step 3: Cross multiply
    19,891.13x = 43,233.19 × 43,233.19
  4. Step 4: Simplify right side
    19,891.13x = 1,869,108,501.41
  5. Step 5: Solve for x
    x = 1,869,108,501.41/19,891.13
  6. Step 6: Final answer
    x = 93,966.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.