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Finding the Third Proportional to 7,196 and 13,480

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Solution

The third proportional to 7,196 and 13,480 is: 25,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196 : 13,480 = 13,480 : x
  2. Step 2: Convert to fraction form
    7,196/13,480 = 13,480/x
  3. Step 3: Cross multiply
    7,196x = 13,480 × 13,480
  4. Step 4: Simplify right side
    7,196x = 181,710,400
  5. Step 5: Solve for x
    x = 181,710,400/7,196
  6. Step 6: Final answer
    x = 25,251.58

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.