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Finding the Third Proportional to 27,280 and 57,312

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Solution

The third proportional to 27,280 and 57,312 is: 120,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,280 : 57,312 = 57,312 : x
  2. Step 2: Convert to fraction form
    27,280/57,312 = 57,312/x
  3. Step 3: Cross multiply
    27,280x = 57,312 × 57,312
  4. Step 4: Simplify right side
    27,280x = 3,284,665,344
  5. Step 5: Solve for x
    x = 3,284,665,344/27,280
  6. Step 6: Final answer
    x = 120,405.62

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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.