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Finding the Third Proportional to 15,697.13 and 33,881.63

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Solution

The third proportional to 15,697.13 and 33,881.63 is: 73,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.13 : 33,881.63 = 33,881.63 : x
  2. Step 2: Convert to fraction form
    15,697.13/33,881.63 = 33,881.63/x
  3. Step 3: Cross multiply
    15,697.13x = 33,881.63 × 33,881.63
  4. Step 4: Simplify right side
    15,697.13x = 1,147,964,512.64
  5. Step 5: Solve for x
    x = 1,147,964,512.64/15,697.13
  6. Step 6: Final answer
    x = 73,132.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.