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Finding the Third Proportional to 24,597 and 53,811

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Solution

The third proportional to 24,597 and 53,811 is: 117,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597 : 53,811 = 53,811 : x
  2. Step 2: Convert to fraction form
    24,597/53,811 = 53,811/x
  3. Step 3: Cross multiply
    24,597x = 53,811 × 53,811
  4. Step 4: Simplify right side
    24,597x = 2,895,623,721
  5. Step 5: Solve for x
    x = 2,895,623,721/24,597
  6. Step 6: Final answer
    x = 117,722.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.