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Finding the Third Proportional to 24,196 and 36,996

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Solution

The third proportional to 24,196 and 36,996 is: 56,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196 : 36,996 = 36,996 : x
  2. Step 2: Convert to fraction form
    24,196/36,996 = 36,996/x
  3. Step 3: Cross multiply
    24,196x = 36,996 × 36,996
  4. Step 4: Simplify right side
    24,196x = 1,368,704,016
  5. Step 5: Solve for x
    x = 1,368,704,016/24,196
  6. Step 6: Final answer
    x = 56,567.37

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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.