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Finding the Third Proportional to 15,289 and 33,074

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Solution

The third proportional to 15,289 and 33,074 is: 71,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,289 : 33,074 = 33,074 : x
  2. Step 2: Convert to fraction form
    15,289/33,074 = 33,074/x
  3. Step 3: Cross multiply
    15,289x = 33,074 × 33,074
  4. Step 4: Simplify right side
    15,289x = 1,093,889,476
  5. Step 5: Solve for x
    x = 1,093,889,476/15,289
  6. Step 6: Final answer
    x = 71,547.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.