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Finding the Third Proportional to 38,652 and 56,844

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Solution

The third proportional to 38,652 and 56,844 is: 83,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,652 : 56,844 = 56,844 : x
  2. Step 2: Convert to fraction form
    38,652/56,844 = 56,844/x
  3. Step 3: Cross multiply
    38,652x = 56,844 × 56,844
  4. Step 4: Simplify right side
    38,652x = 3,231,240,336
  5. Step 5: Solve for x
    x = 3,231,240,336/38,652
  6. Step 6: Final answer
    x = 83,598.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.