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Finding the Third Proportional to 12,931 and 28,325

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Solution

The third proportional to 12,931 and 28,325 is: 62,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931 : 28,325 = 28,325 : x
  2. Step 2: Convert to fraction form
    12,931/28,325 = 28,325/x
  3. Step 3: Cross multiply
    12,931x = 28,325 × 28,325
  4. Step 4: Simplify right side
    12,931x = 802,305,625
  5. Step 5: Solve for x
    x = 802,305,625/12,931
  6. Step 6: Final answer
    x = 62,045.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.