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Finding the Third Proportional to 7,382.81 and 16,390.69

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Solution

The third proportional to 7,382.81 and 16,390.69 is: 36,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.81 : 16,390.69 = 16,390.69 : x
  2. Step 2: Convert to fraction form
    7,382.81/16,390.69 = 16,390.69/x
  3. Step 3: Cross multiply
    7,382.81x = 16,390.69 × 16,390.69
  4. Step 4: Simplify right side
    7,382.81x = 268,654,636.72
  5. Step 5: Solve for x
    x = 268,654,636.72/7,382.81
  6. Step 6: Final answer
    x = 36,389.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.