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Finding the Third Proportional to 24,346 and 52,862

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Solution

The third proportional to 24,346 and 52,862 is: 114,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,346 : 52,862 = 52,862 : x
  2. Step 2: Convert to fraction form
    24,346/52,862 = 52,862/x
  3. Step 3: Cross multiply
    24,346x = 52,862 × 52,862
  4. Step 4: Simplify right side
    24,346x = 2,794,391,044
  5. Step 5: Solve for x
    x = 2,794,391,044/24,346
  6. Step 6: Final answer
    x = 114,778.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.