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Finding the Third Proportional to 7,196 and 13,720

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Solution

The third proportional to 7,196 and 13,720 is: 26,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196 : 13,720 = 13,720 : x
  2. Step 2: Convert to fraction form
    7,196/13,720 = 13,720/x
  3. Step 3: Cross multiply
    7,196x = 13,720 × 13,720
  4. Step 4: Simplify right side
    7,196x = 188,238,400
  5. Step 5: Solve for x
    x = 188,238,400/7,196
  6. Step 6: Final answer
    x = 26,158.75

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.