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Finding the Third Proportional to 15,196 and 35,060

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Solution

The third proportional to 15,196 and 35,060 is: 80,889.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196 : 35,060 = 35,060 : x
  2. Step 2: Convert to fraction form
    15,196/35,060 = 35,060/x
  3. Step 3: Cross multiply
    15,196x = 35,060 × 35,060
  4. Step 4: Simplify right side
    15,196x = 1,229,203,600
  5. Step 5: Solve for x
    x = 1,229,203,600/15,196
  6. Step 6: Final answer
    x = 80,889.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.