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Finding the Third Proportional to 9,695.88 and 15,556.13

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Solution

The third proportional to 9,695.88 and 15,556.13 is: 24,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.88 : 15,556.13 = 15,556.13 : x
  2. Step 2: Convert to fraction form
    9,695.88/15,556.13 = 15,556.13/x
  3. Step 3: Cross multiply
    9,695.88x = 15,556.13 × 15,556.13
  4. Step 4: Simplify right side
    9,695.88x = 241,993,025.02
  5. Step 5: Solve for x
    x = 241,993,025.02/9,695.88
  6. Step 6: Final answer
    x = 24,958.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.