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Finding the Third Proportional to 20,053 and 43,385

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Solution

The third proportional to 20,053 and 43,385 is: 93,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053 : 43,385 = 43,385 : x
  2. Step 2: Convert to fraction form
    20,053/43,385 = 43,385/x
  3. Step 3: Cross multiply
    20,053x = 43,385 × 43,385
  4. Step 4: Simplify right side
    20,053x = 1,882,258,225
  5. Step 5: Solve for x
    x = 1,882,258,225/20,053
  6. Step 6: Final answer
    x = 93,864.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.