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Finding the Third Proportional to 9,889.88 and 17,587.69

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Solution

The third proportional to 9,889.88 and 17,587.69 is: 31,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.88 : 17,587.69 = 17,587.69 : x
  2. Step 2: Convert to fraction form
    9,889.88/17,587.69 = 17,587.69/x
  3. Step 3: Cross multiply
    9,889.88x = 17,587.69 × 17,587.69
  4. Step 4: Simplify right side
    9,889.88x = 309,326,751.60
  5. Step 5: Solve for x
    x = 309,326,751.60/9,889.88
  6. Step 6: Final answer
    x = 31,277.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.