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Finding the Third Proportional to 19,568.25 and 42,327

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Solution

The third proportional to 19,568.25 and 42,327 is: 91,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568.25 : 42,327 = 42,327 : x
  2. Step 2: Convert to fraction form
    19,568.25/42,327 = 42,327/x
  3. Step 3: Cross multiply
    19,568.25x = 42,327 × 42,327
  4. Step 4: Simplify right side
    19,568.25x = 1,791,574,929
  5. Step 5: Solve for x
    x = 1,791,574,929/19,568.25
  6. Step 6: Final answer
    x = 91,555.19

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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.