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Finding the Third Proportional to 12,912 and 27,460

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Solution

The third proportional to 12,912 and 27,460 is: 58,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912 : 27,460 = 27,460 : x
  2. Step 2: Convert to fraction form
    12,912/27,460 = 27,460/x
  3. Step 3: Cross multiply
    12,912x = 27,460 × 27,460
  4. Step 4: Simplify right side
    12,912x = 754,051,600
  5. Step 5: Solve for x
    x = 754,051,600/12,912
  6. Step 6: Final answer
    x = 58,399.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.