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Finding the Third Proportional to 31,808 and 48,117

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Solution

The third proportional to 31,808 and 48,117 is: 72,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808 : 48,117 = 48,117 : x
  2. Step 2: Convert to fraction form
    31,808/48,117 = 48,117/x
  3. Step 3: Cross multiply
    31,808x = 48,117 × 48,117
  4. Step 4: Simplify right side
    31,808x = 2,315,245,689
  5. Step 5: Solve for x
    x = 2,315,245,689/31,808
  6. Step 6: Final answer
    x = 72,788.16

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Why These Related Problems?

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