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Finding the Third Proportional to 37,948 and 83,276

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Solution

The third proportional to 37,948 and 83,276 is: 182,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,948 : 83,276 = 83,276 : x
  2. Step 2: Convert to fraction form
    37,948/83,276 = 83,276/x
  3. Step 3: Cross multiply
    37,948x = 83,276 × 83,276
  4. Step 4: Simplify right side
    37,948x = 6,934,892,176
  5. Step 5: Solve for x
    x = 6,934,892,176/37,948
  6. Step 6: Final answer
    x = 182,747.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.