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Finding the Third Proportional to 38,284 and 56,331

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Solution

The third proportional to 38,284 and 56,331 is: 82,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,284 : 56,331 = 56,331 : x
  2. Step 2: Convert to fraction form
    38,284/56,331 = 56,331/x
  3. Step 3: Cross multiply
    38,284x = 56,331 × 56,331
  4. Step 4: Simplify right side
    38,284x = 3,173,181,561
  5. Step 5: Solve for x
    x = 3,173,181,561/38,284
  6. Step 6: Final answer
    x = 82,885.32

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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.