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Finding the Third Proportional to 4,106.13 and 9,007.13

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Solution

The third proportional to 4,106.13 and 9,007.13 is: 19,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.13 : 9,007.13 = 9,007.13 : x
  2. Step 2: Convert to fraction form
    4,106.13/9,007.13 = 9,007.13/x
  3. Step 3: Cross multiply
    4,106.13x = 9,007.13 × 9,007.13
  4. Step 4: Simplify right side
    4,106.13x = 81,128,300.77
  5. Step 5: Solve for x
    x = 81,128,300.77/4,106.13
  6. Step 6: Final answer
    x = 19,757.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.