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Finding the Third Proportional to 7,969.01 and 16,513.88

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Solution

The third proportional to 7,969.01 and 16,513.88 is: 34,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.01 : 16,513.88 = 16,513.88 : x
  2. Step 2: Convert to fraction form
    7,969.01/16,513.88 = 16,513.88/x
  3. Step 3: Cross multiply
    7,969.01x = 16,513.88 × 16,513.88
  4. Step 4: Simplify right side
    7,969.01x = 272,708,067.52
  5. Step 5: Solve for x
    x = 272,708,067.52/7,969.01
  6. Step 6: Final answer
    x = 34,221.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.