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Finding the Third Proportional to 24,475.50 and 49,135.50

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Solution

The third proportional to 24,475.50 and 49,135.50 is: 98,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.50 : 49,135.50 = 49,135.50 : x
  2. Step 2: Convert to fraction form
    24,475.50/49,135.50 = 49,135.50/x
  3. Step 3: Cross multiply
    24,475.50x = 49,135.50 × 49,135.50
  4. Step 4: Simplify right side
    24,475.50x = 2,414,297,360.25
  5. Step 5: Solve for x
    x = 2,414,297,360.25/24,475.50
  6. Step 6: Final answer
    x = 98,641.39

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.