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Finding the Third Proportional to 24,210 and 34,870

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Solution

The third proportional to 24,210 and 34,870 is: 50,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,210 : 34,870 = 34,870 : x
  2. Step 2: Convert to fraction form
    24,210/34,870 = 34,870/x
  3. Step 3: Cross multiply
    24,210x = 34,870 × 34,870
  4. Step 4: Simplify right side
    24,210x = 1,215,916,900
  5. Step 5: Solve for x
    x = 1,215,916,900/24,210
  6. Step 6: Final answer
    x = 50,223.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.