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Finding the Third Proportional to 12,305 and 19,562

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Solution

The third proportional to 12,305 and 19,562 is: 31,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305 : 19,562 = 19,562 : x
  2. Step 2: Convert to fraction form
    12,305/19,562 = 19,562/x
  3. Step 3: Cross multiply
    12,305x = 19,562 × 19,562
  4. Step 4: Simplify right side
    12,305x = 382,671,844
  5. Step 5: Solve for x
    x = 382,671,844/12,305
  6. Step 6: Final answer
    x = 31,098.89

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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.