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Finding the Third Proportional to 42,941.25 and 59,335.31

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Solution

The third proportional to 42,941.25 and 59,335.31 is: 81,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,941.25 : 59,335.31 = 59,335.31 : x
  2. Step 2: Convert to fraction form
    42,941.25/59,335.31 = 59,335.31/x
  3. Step 3: Cross multiply
    42,941.25x = 59,335.31 × 59,335.31
  4. Step 4: Simplify right side
    42,941.25x = 3,520,679,309.47
  5. Step 5: Solve for x
    x = 3,520,679,309.47/42,941.25
  6. Step 6: Final answer
    x = 81,988.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.