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Finding the Third Proportional to 19,984 and 30,040

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Solution

The third proportional to 19,984 and 30,040 is: 45,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984 : 30,040 = 30,040 : x
  2. Step 2: Convert to fraction form
    19,984/30,040 = 30,040/x
  3. Step 3: Cross multiply
    19,984x = 30,040 × 30,040
  4. Step 4: Simplify right side
    19,984x = 902,401,600
  5. Step 5: Solve for x
    x = 902,401,600/19,984
  6. Step 6: Final answer
    x = 45,156.20

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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.