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Finding the Third Proportional to 24,441 and 36,013.50

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Solution

The third proportional to 24,441 and 36,013.50 is: 53,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441 : 36,013.50 = 36,013.50 : x
  2. Step 2: Convert to fraction form
    24,441/36,013.50 = 36,013.50/x
  3. Step 3: Cross multiply
    24,441x = 36,013.50 × 36,013.50
  4. Step 4: Simplify right side
    24,441x = 1,296,972,182.25
  5. Step 5: Solve for x
    x = 1,296,972,182.25/24,441
  6. Step 6: Final answer
    x = 53,065.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.