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Finding the Third Proportional to 13,364 and 22,813

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Solution

The third proportional to 13,364 and 22,813 is: 38,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364 : 22,813 = 22,813 : x
  2. Step 2: Convert to fraction form
    13,364/22,813 = 22,813/x
  3. Step 3: Cross multiply
    13,364x = 22,813 × 22,813
  4. Step 4: Simplify right side
    13,364x = 520,432,969
  5. Step 5: Solve for x
    x = 520,432,969/13,364
  6. Step 6: Final answer
    x = 38,942.90

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.