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Finding the Third Proportional to 24,683 and 36,103

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Solution

The third proportional to 24,683 and 36,103 is: 52,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,683 : 36,103 = 36,103 : x
  2. Step 2: Convert to fraction form
    24,683/36,103 = 36,103/x
  3. Step 3: Cross multiply
    24,683x = 36,103 × 36,103
  4. Step 4: Simplify right side
    24,683x = 1,303,426,609
  5. Step 5: Solve for x
    x = 1,303,426,609/24,683
  6. Step 6: Final answer
    x = 52,806.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.