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Finding the Third Proportional to 7,480 and 13,214

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Solution

The third proportional to 7,480 and 13,214 is: 23,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480 : 13,214 = 13,214 : x
  2. Step 2: Convert to fraction form
    7,480/13,214 = 13,214/x
  3. Step 3: Cross multiply
    7,480x = 13,214 × 13,214
  4. Step 4: Simplify right side
    7,480x = 174,609,796
  5. Step 5: Solve for x
    x = 174,609,796/7,480
  6. Step 6: Final answer
    x = 23,343.56

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.