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Finding the Third Proportional to 2,885.63 and 6,712.88

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Solution

The third proportional to 2,885.63 and 6,712.88 is: 15,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.63 : 6,712.88 = 6,712.88 : x
  2. Step 2: Convert to fraction form
    2,885.63/6,712.88 = 6,712.88/x
  3. Step 3: Cross multiply
    2,885.63x = 6,712.88 × 6,712.88
  4. Step 4: Simplify right side
    2,885.63x = 45,062,690.77
  5. Step 5: Solve for x
    x = 45,062,690.77/2,885.63
  6. Step 6: Final answer
    x = 15,616.27

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.