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Finding the Third Proportional to 24,894 and 52,594

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Solution

The third proportional to 24,894 and 52,594 is: 111,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894 : 52,594 = 52,594 : x
  2. Step 2: Convert to fraction form
    24,894/52,594 = 52,594/x
  3. Step 3: Cross multiply
    24,894x = 52,594 × 52,594
  4. Step 4: Simplify right side
    24,894x = 2,766,128,836
  5. Step 5: Solve for x
    x = 2,766,128,836/24,894
  6. Step 6: Final answer
    x = 111,116.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.