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Finding the Third Proportional to 2,886.10 and 6,319.66

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Solution

The third proportional to 2,886.10 and 6,319.66 is: 13,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.10 : 6,319.66 = 6,319.66 : x
  2. Step 2: Convert to fraction form
    2,886.10/6,319.66 = 6,319.66/x
  3. Step 3: Cross multiply
    2,886.10x = 6,319.66 × 6,319.66
  4. Step 4: Simplify right side
    2,886.10x = 39,938,116.83
  5. Step 5: Solve for x
    x = 39,938,116.83/2,886.10
  6. Step 6: Final answer
    x = 13,838.09

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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.