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Finding the Third Proportional to 24,033 and 35,850.38

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Solution

The third proportional to 24,033 and 35,850.38 is: 53,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,033 : 35,850.38 = 35,850.38 : x
  2. Step 2: Convert to fraction form
    24,033/35,850.38 = 35,850.38/x
  3. Step 3: Cross multiply
    24,033x = 35,850.38 × 35,850.38
  4. Step 4: Simplify right side
    24,033x = 1,285,249,387.64
  5. Step 5: Solve for x
    x = 1,285,249,387.64/24,033
  6. Step 6: Final answer
    x = 53,478.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.