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Finding the Third Proportional to 3,618.84 and 5,734.97

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Solution

The third proportional to 3,618.84 and 5,734.97 is: 9,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.84 : 5,734.97 = 5,734.97 : x
  2. Step 2: Convert to fraction form
    3,618.84/5,734.97 = 5,734.97/x
  3. Step 3: Cross multiply
    3,618.84x = 5,734.97 × 5,734.97
  4. Step 4: Simplify right side
    3,618.84x = 32,889,866.56
  5. Step 5: Solve for x
    x = 32,889,866.56/3,618.84
  6. Step 6: Final answer
    x = 9,088.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.