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Finding the Third Proportional to 38,243 and 82,023

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Solution

The third proportional to 38,243 and 82,023 is: 175,921.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,243 : 82,023 = 82,023 : x
  2. Step 2: Convert to fraction form
    38,243/82,023 = 82,023/x
  3. Step 3: Cross multiply
    38,243x = 82,023 × 82,023
  4. Step 4: Simplify right side
    38,243x = 6,727,772,529
  5. Step 5: Solve for x
    x = 6,727,772,529/38,243
  6. Step 6: Final answer
    x = 175,921.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.