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Finding the Third Proportional to 2,886.19 and 6,506.44

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Solution

The third proportional to 2,886.19 and 6,506.44 is: 14,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.19 : 6,506.44 = 6,506.44 : x
  2. Step 2: Convert to fraction form
    2,886.19/6,506.44 = 6,506.44/x
  3. Step 3: Cross multiply
    2,886.19x = 6,506.44 × 6,506.44
  4. Step 4: Simplify right side
    2,886.19x = 42,333,728.94
  5. Step 5: Solve for x
    x = 42,333,728.94/2,886.19
  6. Step 6: Final answer
    x = 14,667.70

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.