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Finding the Third Proportional to 31,302 and 48,048

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Solution

The third proportional to 31,302 and 48,048 is: 73,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302 : 48,048 = 48,048 : x
  2. Step 2: Convert to fraction form
    31,302/48,048 = 48,048/x
  3. Step 3: Cross multiply
    31,302x = 48,048 × 48,048
  4. Step 4: Simplify right side
    31,302x = 2,308,610,304
  5. Step 5: Solve for x
    x = 2,308,610,304/31,302
  6. Step 6: Final answer
    x = 73,752.81

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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.