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Finding the Third Proportional to 15,224 and 36,080

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Solution

The third proportional to 15,224 and 36,080 is: 85,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224 : 36,080 = 36,080 : x
  2. Step 2: Convert to fraction form
    15,224/36,080 = 36,080/x
  3. Step 3: Cross multiply
    15,224x = 36,080 × 36,080
  4. Step 4: Simplify right side
    15,224x = 1,301,766,400
  5. Step 5: Solve for x
    x = 1,301,766,400/15,224
  6. Step 6: Final answer
    x = 85,507.51

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.