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Finding the Third Proportional to 15,429 and 33,195

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Solution

The third proportional to 15,429 and 33,195 is: 71,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429 : 33,195 = 33,195 : x
  2. Step 2: Convert to fraction form
    15,429/33,195 = 33,195/x
  3. Step 3: Cross multiply
    15,429x = 33,195 × 33,195
  4. Step 4: Simplify right side
    15,429x = 1,101,908,025
  5. Step 5: Solve for x
    x = 1,101,908,025/15,429
  6. Step 6: Final answer
    x = 71,417.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.