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Finding the Third Proportional to 891.32 and 1,947.32

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Solution

The third proportional to 891.32 and 1,947.32 is: 4,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.32 : 1,947.32 = 1,947.32 : x
  2. Step 2: Convert to fraction form
    891.32/1,947.32 = 1,947.32/x
  3. Step 3: Cross multiply
    891.32x = 1,947.32 × 1,947.32
  4. Step 4: Simplify right side
    891.32x = 3,792,064.01
  5. Step 5: Solve for x
    x = 3,792,064.01/891.32
  6. Step 6: Final answer
    x = 4,254.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.