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Finding the Third Proportional to 41,856.75 and 58,547.81

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Solution

The third proportional to 41,856.75 and 58,547.81 is: 81,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,856.75 : 58,547.81 = 58,547.81 : x
  2. Step 2: Convert to fraction form
    41,856.75/58,547.81 = 58,547.81/x
  3. Step 3: Cross multiply
    41,856.75x = 58,547.81 × 58,547.81
  4. Step 4: Simplify right side
    41,856.75x = 3,427,846,348.54
  5. Step 5: Solve for x
    x = 3,427,846,348.54/41,856.75
  6. Step 6: Final answer
    x = 81,894.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.