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Finding the Third Proportional to 26,278.50 and 58,387.50

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Solution

The third proportional to 26,278.50 and 58,387.50 is: 129,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,278.50 : 58,387.50 = 58,387.50 : x
  2. Step 2: Convert to fraction form
    26,278.50/58,387.50 = 58,387.50/x
  3. Step 3: Cross multiply
    26,278.50x = 58,387.50 × 58,387.50
  4. Step 4: Simplify right side
    26,278.50x = 3,409,100,156.25
  5. Step 5: Solve for x
    x = 3,409,100,156.25/26,278.50
  6. Step 6: Final answer
    x = 129,729.63

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.