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Finding the Third Proportional to 24,488 and 36,968

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Solution

The third proportional to 24,488 and 36,968 is: 55,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,488 : 36,968 = 36,968 : x
  2. Step 2: Convert to fraction form
    24,488/36,968 = 36,968/x
  3. Step 3: Cross multiply
    24,488x = 36,968 × 36,968
  4. Step 4: Simplify right side
    24,488x = 1,366,633,024
  5. Step 5: Solve for x
    x = 1,366,633,024/24,488
  6. Step 6: Final answer
    x = 55,808.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.