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Finding the Third Proportional to 24,159.52 and 48,998.67

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Solution

The third proportional to 24,159.52 and 48,998.67 is: 99,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,159.52 : 48,998.67 = 48,998.67 : x
  2. Step 2: Convert to fraction form
    24,159.52/48,998.67 = 48,998.67/x
  3. Step 3: Cross multiply
    24,159.52x = 48,998.67 × 48,998.67
  4. Step 4: Simplify right side
    24,159.52x = 2,400,869,845.51
  5. Step 5: Solve for x
    x = 2,400,869,845.51/24,159.52
  6. Step 6: Final answer
    x = 99,375.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.