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Finding the Third Proportional to 38,294 and 58,845

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Solution

The third proportional to 38,294 and 58,845 is: 90,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,294 : 58,845 = 58,845 : x
  2. Step 2: Convert to fraction form
    38,294/58,845 = 58,845/x
  3. Step 3: Cross multiply
    38,294x = 58,845 × 58,845
  4. Step 4: Simplify right side
    38,294x = 3,462,734,025
  5. Step 5: Solve for x
    x = 3,462,734,025/38,294
  6. Step 6: Final answer
    x = 90,424.98

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