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Finding the Third Proportional to 3,886.88 and 9,967.13

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Solution

The third proportional to 3,886.88 and 9,967.13 is: 25,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.88 : 9,967.13 = 9,967.13 : x
  2. Step 2: Convert to fraction form
    3,886.88/9,967.13 = 9,967.13/x
  3. Step 3: Cross multiply
    3,886.88x = 9,967.13 × 9,967.13
  4. Step 4: Simplify right side
    3,886.88x = 99,343,580.77
  5. Step 5: Solve for x
    x = 99,343,580.77/3,886.88
  6. Step 6: Final answer
    x = 25,558.73

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.