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Finding the Third Proportional to 24,864 and 34,764

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Solution

The third proportional to 24,864 and 34,764 is: 48,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864 : 34,764 = 34,764 : x
  2. Step 2: Convert to fraction form
    24,864/34,764 = 34,764/x
  3. Step 3: Cross multiply
    24,864x = 34,764 × 34,764
  4. Step 4: Simplify right side
    24,864x = 1,208,535,696
  5. Step 5: Solve for x
    x = 1,208,535,696/24,864
  6. Step 6: Final answer
    x = 48,605.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.