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Finding the Third Proportional to 16,331.63 and 35,778.38

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Solution

The third proportional to 16,331.63 and 35,778.38 is: 78,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331.63 : 35,778.38 = 35,778.38 : x
  2. Step 2: Convert to fraction form
    16,331.63/35,778.38 = 35,778.38/x
  3. Step 3: Cross multiply
    16,331.63x = 35,778.38 × 35,778.38
  4. Step 4: Simplify right side
    16,331.63x = 1,280,092,117.64
  5. Step 5: Solve for x
    x = 1,280,092,117.64/16,331.63
  6. Step 6: Final answer
    x = 78,381.18

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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.