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Finding the Third Proportional to 15,032 and 30,208

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Solution

The third proportional to 15,032 and 30,208 is: 60,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,032 : 30,208 = 30,208 : x
  2. Step 2: Convert to fraction form
    15,032/30,208 = 30,208/x
  3. Step 3: Cross multiply
    15,032x = 30,208 × 30,208
  4. Step 4: Simplify right side
    15,032x = 912,523,264
  5. Step 5: Solve for x
    x = 912,523,264/15,032
  6. Step 6: Final answer
    x = 60,705.38

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.