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Finding the Third Proportional to 13,415 and 19,606

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Solution

The third proportional to 13,415 and 19,606 is: 28,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415 : 19,606 = 19,606 : x
  2. Step 2: Convert to fraction form
    13,415/19,606 = 19,606/x
  3. Step 3: Cross multiply
    13,415x = 19,606 × 19,606
  4. Step 4: Simplify right side
    13,415x = 384,395,236
  5. Step 5: Solve for x
    x = 384,395,236/13,415
  6. Step 6: Final answer
    x = 28,654.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.