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Finding the Third Proportional to 30,822 and 47,818

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Solution

The third proportional to 30,822 and 47,818 is: 74,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822 : 47,818 = 47,818 : x
  2. Step 2: Convert to fraction form
    30,822/47,818 = 47,818/x
  3. Step 3: Cross multiply
    30,822x = 47,818 × 47,818
  4. Step 4: Simplify right side
    30,822x = 2,286,561,124
  5. Step 5: Solve for x
    x = 2,286,561,124/30,822
  6. Step 6: Final answer
    x = 74,186.01

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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.