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Finding the Third Proportional to 16,597.31 and 35,961.19

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Solution

The third proportional to 16,597.31 and 35,961.19 is: 77,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597.31 : 35,961.19 = 35,961.19 : x
  2. Step 2: Convert to fraction form
    16,597.31/35,961.19 = 35,961.19/x
  3. Step 3: Cross multiply
    16,597.31x = 35,961.19 × 35,961.19
  4. Step 4: Simplify right side
    16,597.31x = 1,293,207,006.41
  5. Step 5: Solve for x
    x = 1,293,207,006.41/16,597.31
  6. Step 6: Final answer
    x = 77,916.65

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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.