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Finding the Third Proportional to 31,348 and 48,646

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Solution

The third proportional to 31,348 and 48,646 is: 75,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,348 : 48,646 = 48,646 : x
  2. Step 2: Convert to fraction form
    31,348/48,646 = 48,646/x
  3. Step 3: Cross multiply
    31,348x = 48,646 × 48,646
  4. Step 4: Simplify right side
    31,348x = 2,366,433,316
  5. Step 5: Solve for x
    x = 2,366,433,316/31,348
  6. Step 6: Final answer
    x = 75,489.13

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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.