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Finding the Third Proportional to 19,513.20 and 42,306.89

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Solution

The third proportional to 19,513.20 and 42,306.89 is: 91,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.20 : 42,306.89 = 42,306.89 : x
  2. Step 2: Convert to fraction form
    19,513.20/42,306.89 = 42,306.89/x
  3. Step 3: Cross multiply
    19,513.20x = 42,306.89 × 42,306.89
  4. Step 4: Simplify right side
    19,513.20x = 1,789,872,994.36
  5. Step 5: Solve for x
    x = 1,789,872,994.36/19,513.20
  6. Step 6: Final answer
    x = 91,726.29

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