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Finding the Third Proportional to 38,286 and 58,833

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Solution

The third proportional to 38,286 and 58,833 is: 90,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286 : 58,833 = 58,833 : x
  2. Step 2: Convert to fraction form
    38,286/58,833 = 58,833/x
  3. Step 3: Cross multiply
    38,286x = 58,833 × 58,833
  4. Step 4: Simplify right side
    38,286x = 3,461,321,889
  5. Step 5: Solve for x
    x = 3,461,321,889/38,286
  6. Step 6: Final answer
    x = 90,406.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.