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Finding the Third Proportional to 16,284.80 and 35,686.83

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Solution

The third proportional to 16,284.80 and 35,686.83 is: 78,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.80 : 35,686.83 = 35,686.83 : x
  2. Step 2: Convert to fraction form
    16,284.80/35,686.83 = 35,686.83/x
  3. Step 3: Cross multiply
    16,284.80x = 35,686.83 × 35,686.83
  4. Step 4: Simplify right side
    16,284.80x = 1,273,549,701.62
  5. Step 5: Solve for x
    x = 1,273,549,701.62/16,284.80
  6. Step 6: Final answer
    x = 78,204.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.