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Finding the Third Proportional to 19,825.59 and 42,918.19

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Solution

The third proportional to 19,825.59 and 42,918.19 is: 92,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.59 : 42,918.19 = 42,918.19 : x
  2. Step 2: Convert to fraction form
    19,825.59/42,918.19 = 42,918.19/x
  3. Step 3: Cross multiply
    19,825.59x = 42,918.19 × 42,918.19
  4. Step 4: Simplify right side
    19,825.59x = 1,841,970,818.29
  5. Step 5: Solve for x
    x = 1,841,970,818.29/19,825.59
  6. Step 6: Final answer
    x = 92,908.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.