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Finding the Third Proportional to 9,410.08 and 20,370.71

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Solution

The third proportional to 9,410.08 and 20,370.71 is: 44,098.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.08 : 20,370.71 = 20,370.71 : x
  2. Step 2: Convert to fraction form
    9,410.08/20,370.71 = 20,370.71/x
  3. Step 3: Cross multiply
    9,410.08x = 20,370.71 × 20,370.71
  4. Step 4: Simplify right side
    9,410.08x = 414,965,784.53
  5. Step 5: Solve for x
    x = 414,965,784.53/9,410.08
  6. Step 6: Final answer
    x = 44,098.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.