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Finding the Third Proportional to 39,382.88 and 58,456.69

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Solution

The third proportional to 39,382.88 and 58,456.69 is: 86,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,382.88 : 58,456.69 = 58,456.69 : x
  2. Step 2: Convert to fraction form
    39,382.88/58,456.69 = 58,456.69/x
  3. Step 3: Cross multiply
    39,382.88x = 58,456.69 × 58,456.69
  4. Step 4: Simplify right side
    39,382.88x = 3,417,184,313.47
  5. Step 5: Solve for x
    x = 3,417,184,313.47/39,382.88
  6. Step 6: Final answer
    x = 86,768.28

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.