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Finding the Third Proportional to 31,943 and 48,359

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Solution

The third proportional to 31,943 and 48,359 is: 73,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,943 : 48,359 = 48,359 : x
  2. Step 2: Convert to fraction form
    31,943/48,359 = 48,359/x
  3. Step 3: Cross multiply
    31,943x = 48,359 × 48,359
  4. Step 4: Simplify right side
    31,943x = 2,338,592,881
  5. Step 5: Solve for x
    x = 2,338,592,881/31,943
  6. Step 6: Final answer
    x = 73,211.44

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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.