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Finding the Third Proportional to 1,972.92 and 4,335.05

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Solution

The third proportional to 1,972.92 and 4,335.05 is: 9,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.92 : 4,335.05 = 4,335.05 : x
  2. Step 2: Convert to fraction form
    1,972.92/4,335.05 = 4,335.05/x
  3. Step 3: Cross multiply
    1,972.92x = 4,335.05 × 4,335.05
  4. Step 4: Simplify right side
    1,972.92x = 18,792,631.41
  5. Step 5: Solve for x
    x = 18,792,631.41/1,972.92
  6. Step 6: Final answer
    x = 9,525.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.