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Finding the Third Proportional to 42,854.25 and 64,241.25

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Solution

The third proportional to 42,854.25 and 64,241.25 is: 96,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,854.25 : 64,241.25 = 64,241.25 : x
  2. Step 2: Convert to fraction form
    42,854.25/64,241.25 = 64,241.25/x
  3. Step 3: Cross multiply
    42,854.25x = 64,241.25 × 64,241.25
  4. Step 4: Simplify right side
    42,854.25x = 4,126,938,201.56
  5. Step 5: Solve for x
    x = 4,126,938,201.56/42,854.25
  6. Step 6: Final answer
    x = 96,301.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.