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Finding the Third Proportional to 24,666 and 52,906

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Solution

The third proportional to 24,666 and 52,906 is: 113,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,666 : 52,906 = 52,906 : x
  2. Step 2: Convert to fraction form
    24,666/52,906 = 52,906/x
  3. Step 3: Cross multiply
    24,666x = 52,906 × 52,906
  4. Step 4: Simplify right side
    24,666x = 2,799,044,836
  5. Step 5: Solve for x
    x = 2,799,044,836/24,666
  6. Step 6: Final answer
    x = 113,477.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.