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Finding the Third Proportional to 10,080.56 and 21,886.88

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Solution

The third proportional to 10,080.56 and 21,886.88 is: 47,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.56 : 21,886.88 = 21,886.88 : x
  2. Step 2: Convert to fraction form
    10,080.56/21,886.88 = 21,886.88/x
  3. Step 3: Cross multiply
    10,080.56x = 21,886.88 × 21,886.88
  4. Step 4: Simplify right side
    10,080.56x = 479,035,297.27
  5. Step 5: Solve for x
    x = 479,035,297.27/10,080.56
  6. Step 6: Final answer
    x = 47,520.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.