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Finding the Third Proportional to 38,826 and 60,237

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Solution

The third proportional to 38,826 and 60,237 is: 93,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,826 : 60,237 = 60,237 : x
  2. Step 2: Convert to fraction form
    38,826/60,237 = 60,237/x
  3. Step 3: Cross multiply
    38,826x = 60,237 × 60,237
  4. Step 4: Simplify right side
    38,826x = 3,628,496,169
  5. Step 5: Solve for x
    x = 3,628,496,169/38,826
  6. Step 6: Final answer
    x = 93,455.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.