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Finding the Third Proportional to 20,146 and 30,237

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Solution

The third proportional to 20,146 and 30,237 is: 45,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146 : 30,237 = 30,237 : x
  2. Step 2: Convert to fraction form
    20,146/30,237 = 30,237/x
  3. Step 3: Cross multiply
    20,146x = 30,237 × 30,237
  4. Step 4: Simplify right side
    20,146x = 914,276,169
  5. Step 5: Solve for x
    x = 914,276,169/20,146
  6. Step 6: Final answer
    x = 45,382.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.