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Finding the Third Proportional to 930.87 and 2,039.55

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Solution

The third proportional to 930.87 and 2,039.55 is: 4,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.87 : 2,039.55 = 2,039.55 : x
  2. Step 2: Convert to fraction form
    930.87/2,039.55 = 2,039.55/x
  3. Step 3: Cross multiply
    930.87x = 2,039.55 × 2,039.55
  4. Step 4: Simplify right side
    930.87x = 4,159,783.32
  5. Step 5: Solve for x
    x = 4,159,783.32/930.87
  6. Step 6: Final answer
    x = 4,468.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.