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Finding the Third Proportional to 8,073.63 and 17,315.09

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Solution

The third proportional to 8,073.63 and 17,315.09 is: 37,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.63 : 17,315.09 = 17,315.09 : x
  2. Step 2: Convert to fraction form
    8,073.63/17,315.09 = 17,315.09/x
  3. Step 3: Cross multiply
    8,073.63x = 17,315.09 × 17,315.09
  4. Step 4: Simplify right side
    8,073.63x = 299,812,201.02
  5. Step 5: Solve for x
    x = 299,812,201.02/8,073.63
  6. Step 6: Final answer
    x = 37,134.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.