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Finding the Third Proportional to 1,880 and 4,352.50

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Solution

The third proportional to 1,880 and 4,352.50 is: 10,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880 : 4,352.50 = 4,352.50 : x
  2. Step 2: Convert to fraction form
    1,880/4,352.50 = 4,352.50/x
  3. Step 3: Cross multiply
    1,880x = 4,352.50 × 4,352.50
  4. Step 4: Simplify right side
    1,880x = 18,944,256.25
  5. Step 5: Solve for x
    x = 18,944,256.25/1,880
  6. Step 6: Final answer
    x = 10,076.73

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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.