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Finding the Third Proportional to 1,880.16 and 2,920.78

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Solution

The third proportional to 1,880.16 and 2,920.78 is: 4,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.16 : 2,920.78 = 2,920.78 : x
  2. Step 2: Convert to fraction form
    1,880.16/2,920.78 = 2,920.78/x
  3. Step 3: Cross multiply
    1,880.16x = 2,920.78 × 2,920.78
  4. Step 4: Simplify right side
    1,880.16x = 8,530,963.11
  5. Step 5: Solve for x
    x = 8,530,963.11/1,880.16
  6. Step 6: Final answer
    x = 4,537.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.