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Finding the Third Proportional to 10,130.06 and 22,033.27

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Solution

The third proportional to 10,130.06 and 22,033.27 is: 47,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.06 : 22,033.27 = 22,033.27 : x
  2. Step 2: Convert to fraction form
    10,130.06/22,033.27 = 22,033.27/x
  3. Step 3: Cross multiply
    10,130.06x = 22,033.27 × 22,033.27
  4. Step 4: Simplify right side
    10,130.06x = 485,464,794.10
  5. Step 5: Solve for x
    x = 485,464,794.10/10,130.06
  6. Step 6: Final answer
    x = 47,923.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.