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Finding the Third Proportional to 38,690 and 58,575

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Solution

The third proportional to 38,690 and 58,575 is: 88,680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,690 : 58,575 = 58,575 : x
  2. Step 2: Convert to fraction form
    38,690/58,575 = 58,575/x
  3. Step 3: Cross multiply
    38,690x = 58,575 × 58,575
  4. Step 4: Simplify right side
    38,690x = 3,431,030,625
  5. Step 5: Solve for x
    x = 3,431,030,625/38,690
  6. Step 6: Final answer
    x = 88,680.04

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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.