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Finding the Third Proportional to 23,742 and 56,048

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Solution

The third proportional to 23,742 and 56,048 is: 132,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,742 : 56,048 = 56,048 : x
  2. Step 2: Convert to fraction form
    23,742/56,048 = 56,048/x
  3. Step 3: Cross multiply
    23,742x = 56,048 × 56,048
  4. Step 4: Simplify right side
    23,742x = 3,141,378,304
  5. Step 5: Solve for x
    x = 3,141,378,304/23,742
  6. Step 6: Final answer
    x = 132,313.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.