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Finding the Third Proportional to 24,869.50 and 35,156

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Solution

The third proportional to 24,869.50 and 35,156 is: 49,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869.50 : 35,156 = 35,156 : x
  2. Step 2: Convert to fraction form
    24,869.50/35,156 = 35,156/x
  3. Step 3: Cross multiply
    24,869.50x = 35,156 × 35,156
  4. Step 4: Simplify right side
    24,869.50x = 1,235,944,336
  5. Step 5: Solve for x
    x = 1,235,944,336/24,869.50
  6. Step 6: Final answer
    x = 49,697.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.