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Finding the Third Proportional to 2,885.63 and 6,320.53

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Solution

The third proportional to 2,885.63 and 6,320.53 is: 13,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.63 : 6,320.53 = 6,320.53 : x
  2. Step 2: Convert to fraction form
    2,885.63/6,320.53 = 6,320.53/x
  3. Step 3: Cross multiply
    2,885.63x = 6,320.53 × 6,320.53
  4. Step 4: Simplify right side
    2,885.63x = 39,949,115.28
  5. Step 5: Solve for x
    x = 39,949,115.28/2,885.63
  6. Step 6: Final answer
    x = 13,844.18

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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.