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Finding the Third Proportional to 12,965 and 28,361

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Solution

The third proportional to 12,965 and 28,361 is: 62,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965 : 28,361 = 28,361 : x
  2. Step 2: Convert to fraction form
    12,965/28,361 = 28,361/x
  3. Step 3: Cross multiply
    12,965x = 28,361 × 28,361
  4. Step 4: Simplify right side
    12,965x = 804,346,321
  5. Step 5: Solve for x
    x = 804,346,321/12,965
  6. Step 6: Final answer
    x = 62,039.82

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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.