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Finding the Third Proportional to 38,656 and 56,343

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Solution

The third proportional to 38,656 and 56,343 is: 82,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,656 : 56,343 = 56,343 : x
  2. Step 2: Convert to fraction form
    38,656/56,343 = 56,343/x
  3. Step 3: Cross multiply
    38,656x = 56,343 × 56,343
  4. Step 4: Simplify right side
    38,656x = 3,174,533,649
  5. Step 5: Solve for x
    x = 3,174,533,649/38,656
  6. Step 6: Final answer
    x = 82,122.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.