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Finding the Third Proportional to 43,264.75 and 58,201.75

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Solution

The third proportional to 43,264.75 and 58,201.75 is: 78,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,264.75 : 58,201.75 = 58,201.75 : x
  2. Step 2: Convert to fraction form
    43,264.75/58,201.75 = 58,201.75/x
  3. Step 3: Cross multiply
    43,264.75x = 58,201.75 × 58,201.75
  4. Step 4: Simplify right side
    43,264.75x = 3,387,443,703.06
  5. Step 5: Solve for x
    x = 3,387,443,703.06/43,264.75
  6. Step 6: Final answer
    x = 78,295.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.