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Finding the Third Proportional to 30,099 and 62,322

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Solution

The third proportional to 30,099 and 62,322 is: 129,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,099 : 62,322 = 62,322 : x
  2. Step 2: Convert to fraction form
    30,099/62,322 = 62,322/x
  3. Step 3: Cross multiply
    30,099x = 62,322 × 62,322
  4. Step 4: Simplify right side
    30,099x = 3,884,031,684
  5. Step 5: Solve for x
    x = 3,884,031,684/30,099
  6. Step 6: Final answer
    x = 129,041.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.