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Finding the Third Proportional to 31,479.75 and 47,522.81

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Solution

The third proportional to 31,479.75 and 47,522.81 is: 71,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,479.75 : 47,522.81 = 47,522.81 : x
  2. Step 2: Convert to fraction form
    31,479.75/47,522.81 = 47,522.81/x
  3. Step 3: Cross multiply
    31,479.75x = 47,522.81 × 47,522.81
  4. Step 4: Simplify right side
    31,479.75x = 2,258,417,707.91
  5. Step 5: Solve for x
    x = 2,258,417,707.91/31,479.75
  6. Step 6: Final answer
    x = 71,741.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.