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Finding the Third Proportional to 36,596.81 and 79,800.19

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Solution

The third proportional to 36,596.81 and 79,800.19 is: 174,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,596.81 : 79,800.19 = 79,800.19 : x
  2. Step 2: Convert to fraction form
    36,596.81/79,800.19 = 79,800.19/x
  3. Step 3: Cross multiply
    36,596.81x = 79,800.19 × 79,800.19
  4. Step 4: Simplify right side
    36,596.81x = 6,368,069,925.04
  5. Step 5: Solve for x
    x = 6,368,069,925.04/36,596.81
  6. Step 6: Final answer
    x = 174,006.14

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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.