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Finding the Third Proportional to 6,215 and 13,153

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Solution

The third proportional to 6,215 and 13,153 is: 27,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215 : 13,153 = 13,153 : x
  2. Step 2: Convert to fraction form
    6,215/13,153 = 13,153/x
  3. Step 3: Cross multiply
    6,215x = 13,153 × 13,153
  4. Step 4: Simplify right side
    6,215x = 173,001,409
  5. Step 5: Solve for x
    x = 173,001,409/6,215
  6. Step 6: Final answer
    x = 27,836.11

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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.