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Finding the Third Proportional to 26,250.75 and 42,109.45

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Solution

The third proportional to 26,250.75 and 42,109.45 is: 67,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,250.75 : 42,109.45 = 42,109.45 : x
  2. Step 2: Convert to fraction form
    26,250.75/42,109.45 = 42,109.45/x
  3. Step 3: Cross multiply
    26,250.75x = 42,109.45 × 42,109.45
  4. Step 4: Simplify right side
    26,250.75x = 1,773,206,042.49
  5. Step 5: Solve for x
    x = 1,773,206,042.49/26,250.75
  6. Step 6: Final answer
    x = 67,548.78

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.