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Finding the Third Proportional to 24,103.50 and 50,029.13

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Solution

The third proportional to 24,103.50 and 50,029.13 is: 103,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,103.50 : 50,029.13 = 50,029.13 : x
  2. Step 2: Convert to fraction form
    24,103.50/50,029.13 = 50,029.13/x
  3. Step 3: Cross multiply
    24,103.50x = 50,029.13 × 50,029.13
  4. Step 4: Simplify right side
    24,103.50x = 2,502,913,348.27
  5. Step 5: Solve for x
    x = 2,502,913,348.27/24,103.50
  6. Step 6: Final answer
    x = 103,840.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.