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Finding the Third Proportional to 1,976.50 and 4,421

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Solution

The third proportional to 1,976.50 and 4,421 is: 9,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.50 : 4,421 = 4,421 : x
  2. Step 2: Convert to fraction form
    1,976.50/4,421 = 4,421/x
  3. Step 3: Cross multiply
    1,976.50x = 4,421 × 4,421
  4. Step 4: Simplify right side
    1,976.50x = 19,545,241
  5. Step 5: Solve for x
    x = 19,545,241/1,976.50
  6. Step 6: Final answer
    x = 9,888.81

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.