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Finding the Third Proportional to 22,233 and 39,534

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Solution

The third proportional to 22,233 and 39,534 is: 70,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,233 : 39,534 = 39,534 : x
  2. Step 2: Convert to fraction form
    22,233/39,534 = 39,534/x
  3. Step 3: Cross multiply
    22,233x = 39,534 × 39,534
  4. Step 4: Simplify right side
    22,233x = 1,562,937,156
  5. Step 5: Solve for x
    x = 1,562,937,156/22,233
  6. Step 6: Final answer
    x = 70,298.08

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.