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Finding the Third Proportional to 23,803 and 52,277

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Solution

The third proportional to 23,803 and 52,277 is: 114,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803 : 52,277 = 52,277 : x
  2. Step 2: Convert to fraction form
    23,803/52,277 = 52,277/x
  3. Step 3: Cross multiply
    23,803x = 52,277 × 52,277
  4. Step 4: Simplify right side
    23,803x = 2,732,884,729
  5. Step 5: Solve for x
    x = 2,732,884,729/23,803
  6. Step 6: Final answer
    x = 114,812.62

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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.