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Finding the Third Proportional to 2,806.37 and 6,612.26

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Solution

The third proportional to 2,806.37 and 6,612.26 is: 15,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.37 : 6,612.26 = 6,612.26 : x
  2. Step 2: Convert to fraction form
    2,806.37/6,612.26 = 6,612.26/x
  3. Step 3: Cross multiply
    2,806.37x = 6,612.26 × 6,612.26
  4. Step 4: Simplify right side
    2,806.37x = 43,721,953.38
  5. Step 5: Solve for x
    x = 43,721,953.38/2,806.37
  6. Step 6: Final answer
    x = 15,579.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.