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Finding the Third Proportional to 24,205 and 34,862

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Solution

The third proportional to 24,205 and 34,862 is: 50,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205 : 34,862 = 34,862 : x
  2. Step 2: Convert to fraction form
    24,205/34,862 = 34,862/x
  3. Step 3: Cross multiply
    24,205x = 34,862 × 34,862
  4. Step 4: Simplify right side
    24,205x = 1,215,359,044
  5. Step 5: Solve for x
    x = 1,215,359,044/24,205
  6. Step 6: Final answer
    x = 50,211.07

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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.