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Finding the Third Proportional to 24,416 and 52,288

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Solution

The third proportional to 24,416 and 52,288 is: 111,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416 : 52,288 = 52,288 : x
  2. Step 2: Convert to fraction form
    24,416/52,288 = 52,288/x
  3. Step 3: Cross multiply
    24,416x = 52,288 × 52,288
  4. Step 4: Simplify right side
    24,416x = 2,734,034,944
  5. Step 5: Solve for x
    x = 2,734,034,944/24,416
  6. Step 6: Final answer
    x = 111,977.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.