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Finding the Third Proportional to 24,186 and 53,124

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Solution

The third proportional to 24,186 and 53,124 is: 116,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186 : 53,124 = 53,124 : x
  2. Step 2: Convert to fraction form
    24,186/53,124 = 53,124/x
  3. Step 3: Cross multiply
    24,186x = 53,124 × 53,124
  4. Step 4: Simplify right side
    24,186x = 2,822,159,376
  5. Step 5: Solve for x
    x = 2,822,159,376/24,186
  6. Step 6: Final answer
    x = 116,685.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.