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Finding the Third Proportional to 31,137 and 48,346

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Solution

The third proportional to 31,137 and 48,346 is: 75,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137 : 48,346 = 48,346 : x
  2. Step 2: Convert to fraction form
    31,137/48,346 = 48,346/x
  3. Step 3: Cross multiply
    31,137x = 48,346 × 48,346
  4. Step 4: Simplify right side
    31,137x = 2,337,335,716
  5. Step 5: Solve for x
    x = 2,337,335,716/31,137
  6. Step 6: Final answer
    x = 75,066.18

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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.