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Finding the Third Proportional to 8,073.84 and 11,130.75

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Solution

The third proportional to 8,073.84 and 11,130.75 is: 15,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.84 : 11,130.75 = 11,130.75 : x
  2. Step 2: Convert to fraction form
    8,073.84/11,130.75 = 11,130.75/x
  3. Step 3: Cross multiply
    8,073.84x = 11,130.75 × 11,130.75
  4. Step 4: Simplify right side
    8,073.84x = 123,893,595.56
  5. Step 5: Solve for x
    x = 123,893,595.56/8,073.84
  6. Step 6: Final answer
    x = 15,345.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.