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Finding the Third Proportional to 38,635 and 58,495

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Solution

The third proportional to 38,635 and 58,495 is: 88,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,635 : 58,495 = 58,495 : x
  2. Step 2: Convert to fraction form
    38,635/58,495 = 58,495/x
  3. Step 3: Cross multiply
    38,635x = 58,495 × 58,495
  4. Step 4: Simplify right side
    38,635x = 3,421,665,025
  5. Step 5: Solve for x
    x = 3,421,665,025/38,635
  6. Step 6: Final answer
    x = 88,563.87

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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.