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Finding the Third Proportional to 24,240 and 52,860

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Solution

The third proportional to 24,240 and 52,860 is: 115,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,240 : 52,860 = 52,860 : x
  2. Step 2: Convert to fraction form
    24,240/52,860 = 52,860/x
  3. Step 3: Cross multiply
    24,240x = 52,860 × 52,860
  4. Step 4: Simplify right side
    24,240x = 2,794,179,600
  5. Step 5: Solve for x
    x = 2,794,179,600/24,240
  6. Step 6: Final answer
    x = 115,271.44

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1.5x scale

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.