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Finding the Third Proportional to 27,282 and 57,316

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Solution

The third proportional to 27,282 and 57,316 is: 120,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,282 : 57,316 = 57,316 : x
  2. Step 2: Convert to fraction form
    27,282/57,316 = 57,316/x
  3. Step 3: Cross multiply
    27,282x = 57,316 × 57,316
  4. Step 4: Simplify right side
    27,282x = 3,285,123,856
  5. Step 5: Solve for x
    x = 3,285,123,856/27,282
  6. Step 6: Final answer
    x = 120,413.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.