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Finding the Third Proportional to 4,150.13 and 9,029.81

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Solution

The third proportional to 4,150.13 and 9,029.81 is: 19,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.13 : 9,029.81 = 9,029.81 : x
  2. Step 2: Convert to fraction form
    4,150.13/9,029.81 = 9,029.81/x
  3. Step 3: Cross multiply
    4,150.13x = 9,029.81 × 9,029.81
  4. Step 4: Simplify right side
    4,150.13x = 81,537,513.79
  5. Step 5: Solve for x
    x = 81,537,513.79/4,150.13
  6. Step 6: Final answer
    x = 19,647.00

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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.