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Finding the Third Proportional to 37,648.13 and 58,326.75

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Solution

The third proportional to 37,648.13 and 58,326.75 is: 90,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.13 : 58,326.75 = 58,326.75 : x
  2. Step 2: Convert to fraction form
    37,648.13/58,326.75 = 58,326.75/x
  3. Step 3: Cross multiply
    37,648.13x = 58,326.75 × 58,326.75
  4. Step 4: Simplify right side
    37,648.13x = 3,402,009,765.56
  5. Step 5: Solve for x
    x = 3,402,009,765.56/37,648.13
  6. Step 6: Final answer
    x = 90,363.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.