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Finding the Third Proportional to 28,238 and 61,442

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Solution

The third proportional to 28,238 and 61,442 is: 133,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,238 : 61,442 = 61,442 : x
  2. Step 2: Convert to fraction form
    28,238/61,442 = 61,442/x
  3. Step 3: Cross multiply
    28,238x = 61,442 × 61,442
  4. Step 4: Simplify right side
    28,238x = 3,775,119,364
  5. Step 5: Solve for x
    x = 3,775,119,364/28,238
  6. Step 6: Final answer
    x = 133,689.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.