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Finding the Third Proportional to 41,010.47 and 58,645.69

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Solution

The third proportional to 41,010.47 and 58,645.69 is: 83,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,010.47 : 58,645.69 = 58,645.69 : x
  2. Step 2: Convert to fraction form
    41,010.47/58,645.69 = 58,645.69/x
  3. Step 3: Cross multiply
    41,010.47x = 58,645.69 × 58,645.69
  4. Step 4: Simplify right side
    41,010.47x = 3,439,316,662.35
  5. Step 5: Solve for x
    x = 3,439,316,662.35/41,010.47
  6. Step 6: Final answer
    x = 83,864.36

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.