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Finding the Third Proportional to 9,555.47 and 20,271.52

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Solution

The third proportional to 9,555.47 and 20,271.52 is: 43,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.47 : 20,271.52 = 20,271.52 : x
  2. Step 2: Convert to fraction form
    9,555.47/20,271.52 = 20,271.52/x
  3. Step 3: Cross multiply
    9,555.47x = 20,271.52 × 20,271.52
  4. Step 4: Simplify right side
    9,555.47x = 410,934,345.73
  5. Step 5: Solve for x
    x = 410,934,345.73/9,555.47
  6. Step 6: Final answer
    x = 43,005.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.