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Finding the Third Proportional to 16,597.13 and 35,963.44

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Solution

The third proportional to 16,597.13 and 35,963.44 is: 77,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597.13 : 35,963.44 = 35,963.44 : x
  2. Step 2: Convert to fraction form
    16,597.13/35,963.44 = 35,963.44/x
  3. Step 3: Cross multiply
    16,597.13x = 35,963.44 × 35,963.44
  4. Step 4: Simplify right side
    16,597.13x = 1,293,368,836.82
  5. Step 5: Solve for x
    x = 1,293,368,836.82/16,597.13
  6. Step 6: Final answer
    x = 77,927.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.