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Finding the Third Proportional to 31,501 and 48,336

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Solution

The third proportional to 31,501 and 48,336 is: 74,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501 : 48,336 = 48,336 : x
  2. Step 2: Convert to fraction form
    31,501/48,336 = 48,336/x
  3. Step 3: Cross multiply
    31,501x = 48,336 × 48,336
  4. Step 4: Simplify right side
    31,501x = 2,336,368,896
  5. Step 5: Solve for x
    x = 2,336,368,896/31,501
  6. Step 6: Final answer
    x = 74,168.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.