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Finding the Third Proportional to 1,873.05 and 4,336.62

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Solution

The third proportional to 1,873.05 and 4,336.62 is: 10,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.05 : 4,336.62 = 4,336.62 : x
  2. Step 2: Convert to fraction form
    1,873.05/4,336.62 = 4,336.62/x
  3. Step 3: Cross multiply
    1,873.05x = 4,336.62 × 4,336.62
  4. Step 4: Simplify right side
    1,873.05x = 18,806,312.16
  5. Step 5: Solve for x
    x = 18,806,312.16/1,873.05
  6. Step 6: Final answer
    x = 10,040.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.