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Finding the Third Proportional to 12,904 and 19,735

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Solution

The third proportional to 12,904 and 19,735 is: 30,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904 : 19,735 = 19,735 : x
  2. Step 2: Convert to fraction form
    12,904/19,735 = 19,735/x
  3. Step 3: Cross multiply
    12,904x = 19,735 × 19,735
  4. Step 4: Simplify right side
    12,904x = 389,470,225
  5. Step 5: Solve for x
    x = 389,470,225/12,904
  6. Step 6: Final answer
    x = 30,182.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.