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Finding the Third Proportional to 15,080 and 32,837

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Solution

The third proportional to 15,080 and 32,837 is: 71,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,080 : 32,837 = 32,837 : x
  2. Step 2: Convert to fraction form
    15,080/32,837 = 32,837/x
  3. Step 3: Cross multiply
    15,080x = 32,837 × 32,837
  4. Step 4: Simplify right side
    15,080x = 1,078,268,569
  5. Step 5: Solve for x
    x = 1,078,268,569/15,080
  6. Step 6: Final answer
    x = 71,503.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.