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Finding the Third Proportional to 38,460 and 93,084

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Solution

The third proportional to 38,460 and 93,084 is: 225,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,460 : 93,084 = 93,084 : x
  2. Step 2: Convert to fraction form
    38,460/93,084 = 93,084/x
  3. Step 3: Cross multiply
    38,460x = 93,084 × 93,084
  4. Step 4: Simplify right side
    38,460x = 8,664,631,056
  5. Step 5: Solve for x
    x = 8,664,631,056/38,460
  6. Step 6: Final answer
    x = 225,289.42

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.