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Finding the Third Proportional to 31,788 and 48,348

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Solution

The third proportional to 31,788 and 48,348 is: 73,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788 : 48,348 = 48,348 : x
  2. Step 2: Convert to fraction form
    31,788/48,348 = 48,348/x
  3. Step 3: Cross multiply
    31,788x = 48,348 × 48,348
  4. Step 4: Simplify right side
    31,788x = 2,337,529,104
  5. Step 5: Solve for x
    x = 2,337,529,104/31,788
  6. Step 6: Final answer
    x = 73,534.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.