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Finding the Third Proportional to 18,726 and 40,048

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Solution

The third proportional to 18,726 and 40,048 is: 85,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,726 : 40,048 = 40,048 : x
  2. Step 2: Convert to fraction form
    18,726/40,048 = 40,048/x
  3. Step 3: Cross multiply
    18,726x = 40,048 × 40,048
  4. Step 4: Simplify right side
    18,726x = 1,603,842,304
  5. Step 5: Solve for x
    x = 1,603,842,304/18,726
  6. Step 6: Final answer
    x = 85,647.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.