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Finding the Third Proportional to 24,301 and 52,994

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Solution

The third proportional to 24,301 and 52,994 is: 115,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,301 : 52,994 = 52,994 : x
  2. Step 2: Convert to fraction form
    24,301/52,994 = 52,994/x
  3. Step 3: Cross multiply
    24,301x = 52,994 × 52,994
  4. Step 4: Simplify right side
    24,301x = 2,808,364,036
  5. Step 5: Solve for x
    x = 2,808,364,036/24,301
  6. Step 6: Final answer
    x = 115,565.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.