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Finding the Third Proportional to 24,184 and 53,120

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Solution

The third proportional to 24,184 and 53,120 is: 116,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,184 : 53,120 = 53,120 : x
  2. Step 2: Convert to fraction form
    24,184/53,120 = 53,120/x
  3. Step 3: Cross multiply
    24,184x = 53,120 × 53,120
  4. Step 4: Simplify right side
    24,184x = 2,821,734,400
  5. Step 5: Solve for x
    x = 2,821,734,400/24,184
  6. Step 6: Final answer
    x = 116,677.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.