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Finding the Third Proportional to 2,283.19 and 4,975.31

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Solution

The third proportional to 2,283.19 and 4,975.31 is: 10,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.19 : 4,975.31 = 4,975.31 : x
  2. Step 2: Convert to fraction form
    2,283.19/4,975.31 = 4,975.31/x
  3. Step 3: Cross multiply
    2,283.19x = 4,975.31 × 4,975.31
  4. Step 4: Simplify right side
    2,283.19x = 24,753,734.47
  5. Step 5: Solve for x
    x = 24,753,734.47/2,283.19
  6. Step 6: Final answer
    x = 10,841.74

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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.