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Finding the Third Proportional to 16,575.75 and 36,037.13

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Solution

The third proportional to 16,575.75 and 36,037.13 is: 78,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.75 : 36,037.13 = 36,037.13 : x
  2. Step 2: Convert to fraction form
    16,575.75/36,037.13 = 36,037.13/x
  3. Step 3: Cross multiply
    16,575.75x = 36,037.13 × 36,037.13
  4. Step 4: Simplify right side
    16,575.75x = 1,298,674,378.27
  5. Step 5: Solve for x
    x = 1,298,674,378.27/16,575.75
  6. Step 6: Final answer
    x = 78,347.85

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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.