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Finding the Third Proportional to 38,774 and 58,485

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Solution

The third proportional to 38,774 and 58,485 is: 88,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774 : 58,485 = 58,485 : x
  2. Step 2: Convert to fraction form
    38,774/58,485 = 58,485/x
  3. Step 3: Cross multiply
    38,774x = 58,485 × 58,485
  4. Step 4: Simplify right side
    38,774x = 3,420,495,225
  5. Step 5: Solve for x
    x = 3,420,495,225/38,774
  6. Step 6: Final answer
    x = 88,216.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.