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Finding the Third Proportional to 13,225 and 19,973

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Solution

The third proportional to 13,225 and 19,973 is: 30,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225 : 19,973 = 19,973 : x
  2. Step 2: Convert to fraction form
    13,225/19,973 = 19,973/x
  3. Step 3: Cross multiply
    13,225x = 19,973 × 19,973
  4. Step 4: Simplify right side
    13,225x = 398,920,729
  5. Step 5: Solve for x
    x = 398,920,729/13,225
  6. Step 6: Final answer
    x = 30,164.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.