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Finding the Third Proportional to 20,564 and 43,900

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Solution

The third proportional to 20,564 and 43,900 is: 93,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564 : 43,900 = 43,900 : x
  2. Step 2: Convert to fraction form
    20,564/43,900 = 43,900/x
  3. Step 3: Cross multiply
    20,564x = 43,900 × 43,900
  4. Step 4: Simplify right side
    20,564x = 1,927,210,000
  5. Step 5: Solve for x
    x = 1,927,210,000/20,564
  6. Step 6: Final answer
    x = 93,717.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.