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Finding the Third Proportional to 38,564 and 83,056

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Solution

The third proportional to 38,564 and 83,056 is: 178,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564 : 83,056 = 83,056 : x
  2. Step 2: Convert to fraction form
    38,564/83,056 = 83,056/x
  3. Step 3: Cross multiply
    38,564x = 83,056 × 83,056
  4. Step 4: Simplify right side
    38,564x = 6,898,299,136
  5. Step 5: Solve for x
    x = 6,898,299,136/38,564
  6. Step 6: Final answer
    x = 178,879.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.