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Finding the Third Proportional to 38,504 and 58,312

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Solution

The third proportional to 38,504 and 58,312 is: 88,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504 : 58,312 = 58,312 : x
  2. Step 2: Convert to fraction form
    38,504/58,312 = 58,312/x
  3. Step 3: Cross multiply
    38,504x = 58,312 × 58,312
  4. Step 4: Simplify right side
    38,504x = 3,400,289,344
  5. Step 5: Solve for x
    x = 3,400,289,344/38,504
  6. Step 6: Final answer
    x = 88,310.03

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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.