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Finding the Third Proportional to 38,191 and 56,117

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Solution

The third proportional to 38,191 and 56,117 is: 82,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191 : 56,117 = 56,117 : x
  2. Step 2: Convert to fraction form
    38,191/56,117 = 56,117/x
  3. Step 3: Cross multiply
    38,191x = 56,117 × 56,117
  4. Step 4: Simplify right side
    38,191x = 3,149,117,689
  5. Step 5: Solve for x
    x = 3,149,117,689/38,191
  6. Step 6: Final answer
    x = 82,457.06

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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.