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Finding the Third Proportional to 2,119.50 and 4,553

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Solution

The third proportional to 2,119.50 and 4,553 is: 9,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.50 : 4,553 = 4,553 : x
  2. Step 2: Convert to fraction form
    2,119.50/4,553 = 4,553/x
  3. Step 3: Cross multiply
    2,119.50x = 4,553 × 4,553
  4. Step 4: Simplify right side
    2,119.50x = 20,729,809
  5. Step 5: Solve for x
    x = 20,729,809/2,119.50
  6. Step 6: Final answer
    x = 9,780.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.