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Finding the Third Proportional to 31,290.75 and 48,516.75

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Solution

The third proportional to 31,290.75 and 48,516.75 is: 75,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.75 : 48,516.75 = 48,516.75 : x
  2. Step 2: Convert to fraction form
    31,290.75/48,516.75 = 48,516.75/x
  3. Step 3: Cross multiply
    31,290.75x = 48,516.75 × 48,516.75
  4. Step 4: Simplify right side
    31,290.75x = 2,353,875,030.56
  5. Step 5: Solve for x
    x = 2,353,875,030.56/31,290.75
  6. Step 6: Final answer
    x = 75,225.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.