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Finding the Third Proportional to 15,851.53 and 33,471.14

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Solution

The third proportional to 15,851.53 and 33,471.14 is: 70,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.53 : 33,471.14 = 33,471.14 : x
  2. Step 2: Convert to fraction form
    15,851.53/33,471.14 = 33,471.14/x
  3. Step 3: Cross multiply
    15,851.53x = 33,471.14 × 33,471.14
  4. Step 4: Simplify right side
    15,851.53x = 1,120,317,254.74
  5. Step 5: Solve for x
    x = 1,120,317,254.74/15,851.53
  6. Step 6: Final answer
    x = 70,675.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.