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Finding the Third Proportional to 26,742 and 63,048

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Solution

The third proportional to 26,742 and 63,048 is: 148,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742 : 63,048 = 63,048 : x
  2. Step 2: Convert to fraction form
    26,742/63,048 = 63,048/x
  3. Step 3: Cross multiply
    26,742x = 63,048 × 63,048
  4. Step 4: Simplify right side
    26,742x = 3,975,050,304
  5. Step 5: Solve for x
    x = 3,975,050,304/26,742
  6. Step 6: Final answer
    x = 148,644.47

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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.