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Finding the Third Proportional to 10,754 and 22,813

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Solution

The third proportional to 10,754 and 22,813 is: 48,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754 : 22,813 = 22,813 : x
  2. Step 2: Convert to fraction form
    10,754/22,813 = 22,813/x
  3. Step 3: Cross multiply
    10,754x = 22,813 × 22,813
  4. Step 4: Simplify right side
    10,754x = 520,432,969
  5. Step 5: Solve for x
    x = 520,432,969/10,754
  6. Step 6: Final answer
    x = 48,394.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.