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Finding the Third Proportional to 10,460 and 24,206

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Solution

The third proportional to 10,460 and 24,206 is: 56,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460 : 24,206 = 24,206 : x
  2. Step 2: Convert to fraction form
    10,460/24,206 = 24,206/x
  3. Step 3: Cross multiply
    10,460x = 24,206 × 24,206
  4. Step 4: Simplify right side
    10,460x = 585,930,436
  5. Step 5: Solve for x
    x = 585,930,436/10,460
  6. Step 6: Final answer
    x = 56,016.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.