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Finding the Third Proportional to 15,289.17 and 33,682.08

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Solution

The third proportional to 15,289.17 and 33,682.08 is: 74,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,289.17 : 33,682.08 = 33,682.08 : x
  2. Step 2: Convert to fraction form
    15,289.17/33,682.08 = 33,682.08/x
  3. Step 3: Cross multiply
    15,289.17x = 33,682.08 × 33,682.08
  4. Step 4: Simplify right side
    15,289.17x = 1,134,482,386.82
  5. Step 5: Solve for x
    x = 1,134,482,386.82/15,289.17
  6. Step 6: Final answer
    x = 74,201.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.