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Finding the Third Proportional to 41,037.75 and 58,678.88

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Solution

The third proportional to 41,037.75 and 58,678.88 is: 83,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,037.75 : 58,678.88 = 58,678.88 : x
  2. Step 2: Convert to fraction form
    41,037.75/58,678.88 = 58,678.88/x
  3. Step 3: Cross multiply
    41,037.75x = 58,678.88 × 58,678.88
  4. Step 4: Simplify right side
    41,037.75x = 3,443,210,371.27
  5. Step 5: Solve for x
    x = 3,443,210,371.27/41,037.75
  6. Step 6: Final answer
    x = 83,903.49

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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.