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Finding the Third Proportional to 2,806.88 and 6,152.06

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Solution

The third proportional to 2,806.88 and 6,152.06 is: 13,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.88 : 6,152.06 = 6,152.06 : x
  2. Step 2: Convert to fraction form
    2,806.88/6,152.06 = 6,152.06/x
  3. Step 3: Cross multiply
    2,806.88x = 6,152.06 × 6,152.06
  4. Step 4: Simplify right side
    2,806.88x = 37,847,873.00
  5. Step 5: Solve for x
    x = 37,847,873.00/2,806.88
  6. Step 6: Final answer
    x = 13,483.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.