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Finding the Third Proportional to 24,678 and 53,049

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Solution

The third proportional to 24,678 and 53,049 is: 114,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678 : 53,049 = 53,049 : x
  2. Step 2: Convert to fraction form
    24,678/53,049 = 53,049/x
  3. Step 3: Cross multiply
    24,678x = 53,049 × 53,049
  4. Step 4: Simplify right side
    24,678x = 2,814,196,401
  5. Step 5: Solve for x
    x = 2,814,196,401/24,678
  6. Step 6: Final answer
    x = 114,036.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.