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Finding the Third Proportional to 26,382 and 62,274

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Solution

The third proportional to 26,382 and 62,274 is: 146,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,382 : 62,274 = 62,274 : x
  2. Step 2: Convert to fraction form
    26,382/62,274 = 62,274/x
  3. Step 3: Cross multiply
    26,382x = 62,274 × 62,274
  4. Step 4: Simplify right side
    26,382x = 3,878,051,076
  5. Step 5: Solve for x
    x = 3,878,051,076/26,382
  6. Step 6: Final answer
    x = 146,996.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.