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Finding the Third Proportional to 15,325 and 32,996

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Solution

The third proportional to 15,325 and 32,996 is: 71,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,325 : 32,996 = 32,996 : x
  2. Step 2: Convert to fraction form
    15,325/32,996 = 32,996/x
  3. Step 3: Cross multiply
    15,325x = 32,996 × 32,996
  4. Step 4: Simplify right side
    15,325x = 1,088,736,016
  5. Step 5: Solve for x
    x = 1,088,736,016/15,325
  6. Step 6: Final answer
    x = 71,043.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.