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Finding the Third Proportional to 19,415 and 41,600

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Solution

The third proportional to 19,415 and 41,600 is: 89,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,415 : 41,600 = 41,600 : x
  2. Step 2: Convert to fraction form
    19,415/41,600 = 41,600/x
  3. Step 3: Cross multiply
    19,415x = 41,600 × 41,600
  4. Step 4: Simplify right side
    19,415x = 1,730,560,000
  5. Step 5: Solve for x
    x = 1,730,560,000/19,415
  6. Step 6: Final answer
    x = 89,135.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.