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Finding the Third Proportional to 9,271.13 and 19,772.44

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Solution

The third proportional to 9,271.13 and 19,772.44 is: 42,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.13 : 19,772.44 = 19,772.44 : x
  2. Step 2: Convert to fraction form
    9,271.13/19,772.44 = 19,772.44/x
  3. Step 3: Cross multiply
    9,271.13x = 19,772.44 × 19,772.44
  4. Step 4: Simplify right side
    9,271.13x = 390,949,284.69
  5. Step 5: Solve for x
    x = 390,949,284.69/9,271.13
  6. Step 6: Final answer
    x = 42,168.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.