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Finding the Third Proportional to 20,528 and 47,892

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Solution

The third proportional to 20,528 and 47,892 is: 111,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,528 : 47,892 = 47,892 : x
  2. Step 2: Convert to fraction form
    20,528/47,892 = 47,892/x
  3. Step 3: Cross multiply
    20,528x = 47,892 × 47,892
  4. Step 4: Simplify right side
    20,528x = 2,293,643,664
  5. Step 5: Solve for x
    x = 2,293,643,664/20,528
  6. Step 6: Final answer
    x = 111,732.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.