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Finding the Third Proportional to 2,870.16 and 6,357.09

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Solution

The third proportional to 2,870.16 and 6,357.09 is: 14,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.16 : 6,357.09 = 6,357.09 : x
  2. Step 2: Convert to fraction form
    2,870.16/6,357.09 = 6,357.09/x
  3. Step 3: Cross multiply
    2,870.16x = 6,357.09 × 6,357.09
  4. Step 4: Simplify right side
    2,870.16x = 40,412,640.95
  5. Step 5: Solve for x
    x = 40,412,640.95/2,870.16
  6. Step 6: Final answer
    x = 14,080.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.