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Finding the Third Proportional to 12,344 and 19,628

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Solution

The third proportional to 12,344 and 19,628 is: 31,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344 : 19,628 = 19,628 : x
  2. Step 2: Convert to fraction form
    12,344/19,628 = 19,628/x
  3. Step 3: Cross multiply
    12,344x = 19,628 × 19,628
  4. Step 4: Simplify right side
    12,344x = 385,258,384
  5. Step 5: Solve for x
    x = 385,258,384/12,344
  6. Step 6: Final answer
    x = 31,210.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.