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Finding the Third Proportional to 8,106.14 and 17,750.02

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Solution

The third proportional to 8,106.14 and 17,750.02 is: 38,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.14 : 17,750.02 = 17,750.02 : x
  2. Step 2: Convert to fraction form
    8,106.14/17,750.02 = 17,750.02/x
  3. Step 3: Cross multiply
    8,106.14x = 17,750.02 × 17,750.02
  4. Step 4: Simplify right side
    8,106.14x = 315,063,054.69
  5. Step 5: Solve for x
    x = 315,063,054.69/8,106.14
  6. Step 6: Final answer
    x = 38,867.21

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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.