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Finding the Third Proportional to 28,948 and 38,238

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Solution

The third proportional to 28,948 and 38,238 is: 50,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,948 : 38,238 = 38,238 : x
  2. Step 2: Convert to fraction form
    28,948/38,238 = 38,238/x
  3. Step 3: Cross multiply
    28,948x = 38,238 × 38,238
  4. Step 4: Simplify right side
    28,948x = 1,462,144,644
  5. Step 5: Solve for x
    x = 1,462,144,644/28,948
  6. Step 6: Final answer
    x = 50,509.35

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.