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Finding the Third Proportional to 20,232 and 31,415

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Solution

The third proportional to 20,232 and 31,415 is: 48,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232 : 31,415 = 31,415 : x
  2. Step 2: Convert to fraction form
    20,232/31,415 = 31,415/x
  3. Step 3: Cross multiply
    20,232x = 31,415 × 31,415
  4. Step 4: Simplify right side
    20,232x = 986,902,225
  5. Step 5: Solve for x
    x = 986,902,225/20,232
  6. Step 6: Final answer
    x = 48,779.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.