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Finding the Third Proportional to 1,880.52 and 2,923.30

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Solution

The third proportional to 1,880.52 and 2,923.30 is: 4,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.52 : 2,923.30 = 2,923.30 : x
  2. Step 2: Convert to fraction form
    1,880.52/2,923.30 = 2,923.30/x
  3. Step 3: Cross multiply
    1,880.52x = 2,923.30 × 2,923.30
  4. Step 4: Simplify right side
    1,880.52x = 8,545,666.05
  5. Step 5: Solve for x
    x = 8,545,666.05/1,880.52
  6. Step 6: Final answer
    x = 4,544.31

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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.