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Finding the Third Proportional to 24,822 and 53,106

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Solution

The third proportional to 24,822 and 53,106 is: 113,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822 : 53,106 = 53,106 : x
  2. Step 2: Convert to fraction form
    24,822/53,106 = 53,106/x
  3. Step 3: Cross multiply
    24,822x = 53,106 × 53,106
  4. Step 4: Simplify right side
    24,822x = 2,820,247,236
  5. Step 5: Solve for x
    x = 2,820,247,236/24,822
  6. Step 6: Final answer
    x = 113,618.86

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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.