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Finding the Third Proportional to 31,717.83 and 46,077.61

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Solution

The third proportional to 31,717.83 and 46,077.61 is: 66,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,717.83 : 46,077.61 = 46,077.61 : x
  2. Step 2: Convert to fraction form
    31,717.83/46,077.61 = 46,077.61/x
  3. Step 3: Cross multiply
    31,717.83x = 46,077.61 × 46,077.61
  4. Step 4: Simplify right side
    31,717.83x = 2,123,146,085.72
  5. Step 5: Solve for x
    x = 2,123,146,085.72/31,717.83
  6. Step 6: Final answer
    x = 66,938.57

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.