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Finding the Third Proportional to 20,428 and 28,906

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Solution

The third proportional to 20,428 and 28,906 is: 40,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428 : 28,906 = 28,906 : x
  2. Step 2: Convert to fraction form
    20,428/28,906 = 28,906/x
  3. Step 3: Cross multiply
    20,428x = 28,906 × 28,906
  4. Step 4: Simplify right side
    20,428x = 835,556,836
  5. Step 5: Solve for x
    x = 835,556,836/20,428
  6. Step 6: Final answer
    x = 40,902.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.