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Finding the Third Proportional to 20,415 and 30,623

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Solution

The third proportional to 20,415 and 30,623 is: 45,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415 : 30,623 = 30,623 : x
  2. Step 2: Convert to fraction form
    20,415/30,623 = 30,623/x
  3. Step 3: Cross multiply
    20,415x = 30,623 × 30,623
  4. Step 4: Simplify right side
    20,415x = 937,768,129
  5. Step 5: Solve for x
    x = 937,768,129/20,415
  6. Step 6: Final answer
    x = 45,935.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.