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Finding the Third Proportional to 15,424 and 30,080

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Solution

The third proportional to 15,424 and 30,080 is: 58,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424 : 30,080 = 30,080 : x
  2. Step 2: Convert to fraction form
    15,424/30,080 = 30,080/x
  3. Step 3: Cross multiply
    15,424x = 30,080 × 30,080
  4. Step 4: Simplify right side
    15,424x = 904,806,400
  5. Step 5: Solve for x
    x = 904,806,400/15,424
  6. Step 6: Final answer
    x = 58,662.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.