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Finding the Third Proportional to 38,605 and 58,322

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Solution

The third proportional to 38,605 and 58,322 is: 88,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,605 : 58,322 = 58,322 : x
  2. Step 2: Convert to fraction form
    38,605/58,322 = 58,322/x
  3. Step 3: Cross multiply
    38,605x = 58,322 × 58,322
  4. Step 4: Simplify right side
    38,605x = 3,401,455,684
  5. Step 5: Solve for x
    x = 3,401,455,684/38,605
  6. Step 6: Final answer
    x = 88,109.20

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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.