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Finding the Third Proportional to 9,587.06 and 20,506.69

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Solution

The third proportional to 9,587.06 and 20,506.69 is: 43,863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.06 : 20,506.69 = 20,506.69 : x
  2. Step 2: Convert to fraction form
    9,587.06/20,506.69 = 20,506.69/x
  3. Step 3: Cross multiply
    9,587.06x = 20,506.69 × 20,506.69
  4. Step 4: Simplify right side
    9,587.06x = 420,524,232.22
  5. Step 5: Solve for x
    x = 420,524,232.22/9,587.06
  6. Step 6: Final answer
    x = 43,863.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.