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Finding the Third Proportional to 38,620 and 58,345

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Solution

The third proportional to 38,620 and 58,345 is: 88,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,620 : 58,345 = 58,345 : x
  2. Step 2: Convert to fraction form
    38,620/58,345 = 58,345/x
  3. Step 3: Cross multiply
    38,620x = 58,345 × 58,345
  4. Step 4: Simplify right side
    38,620x = 3,404,139,025
  5. Step 5: Solve for x
    x = 3,404,139,025/38,620
  6. Step 6: Final answer
    x = 88,144.46

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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.