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Finding the Third Proportional to 12,646 and 26,332

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Solution

The third proportional to 12,646 and 26,332 is: 54,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646 : 26,332 = 26,332 : x
  2. Step 2: Convert to fraction form
    12,646/26,332 = 26,332/x
  3. Step 3: Cross multiply
    12,646x = 26,332 × 26,332
  4. Step 4: Simplify right side
    12,646x = 693,374,224
  5. Step 5: Solve for x
    x = 693,374,224/12,646
  6. Step 6: Final answer
    x = 54,829.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.