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Finding the Third Proportional to 16,702.88 and 36,041.63

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Solution

The third proportional to 16,702.88 and 36,041.63 is: 77,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.88 : 36,041.63 = 36,041.63 : x
  2. Step 2: Convert to fraction form
    16,702.88/36,041.63 = 36,041.63/x
  3. Step 3: Cross multiply
    16,702.88x = 36,041.63 × 36,041.63
  4. Step 4: Simplify right side
    16,702.88x = 1,298,998,732.64
  5. Step 5: Solve for x
    x = 1,298,998,732.64/16,702.88
  6. Step 6: Final answer
    x = 77,770.97

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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.