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Finding the Third Proportional to 1,970 and 4,180

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Solution

The third proportional to 1,970 and 4,180 is: 8,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970 : 4,180 = 4,180 : x
  2. Step 2: Convert to fraction form
    1,970/4,180 = 4,180/x
  3. Step 3: Cross multiply
    1,970x = 4,180 × 4,180
  4. Step 4: Simplify right side
    1,970x = 17,472,400
  5. Step 5: Solve for x
    x = 17,472,400/1,970
  6. Step 6: Final answer
    x = 8,869.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.