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Finding the Third Proportional to 16,589.81 and 36,095.20

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Solution

The third proportional to 16,589.81 and 36,095.20 is: 78,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.81 : 36,095.20 = 36,095.20 : x
  2. Step 2: Convert to fraction form
    16,589.81/36,095.20 = 36,095.20/x
  3. Step 3: Cross multiply
    16,589.81x = 36,095.20 × 36,095.20
  4. Step 4: Simplify right side
    16,589.81x = 1,302,863,688.64
  5. Step 5: Solve for x
    x = 1,302,863,688.64/16,589.81
  6. Step 6: Final answer
    x = 78,533.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.