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Finding the Third Proportional to 23,411.53 and 31,217.91

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Solution

The third proportional to 23,411.53 and 31,217.91 is: 41,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.53 : 31,217.91 = 31,217.91 : x
  2. Step 2: Convert to fraction form
    23,411.53/31,217.91 = 31,217.91/x
  3. Step 3: Cross multiply
    23,411.53x = 31,217.91 × 31,217.91
  4. Step 4: Simplify right side
    23,411.53x = 974,557,670.63
  5. Step 5: Solve for x
    x = 974,557,670.63/23,411.53
  6. Step 6: Final answer
    x = 41,627.25

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.