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Finding the Third Proportional to 5,680 and 13,070

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Solution

The third proportional to 5,680 and 13,070 is: 30,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680 : 13,070 = 13,070 : x
  2. Step 2: Convert to fraction form
    5,680/13,070 = 13,070/x
  3. Step 3: Cross multiply
    5,680x = 13,070 × 13,070
  4. Step 4: Simplify right side
    5,680x = 170,824,900
  5. Step 5: Solve for x
    x = 170,824,900/5,680
  6. Step 6: Final answer
    x = 30,074.81

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.