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Finding the Third Proportional to 31,134 and 47,613

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Solution

The third proportional to 31,134 and 47,613 is: 72,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134 : 47,613 = 47,613 : x
  2. Step 2: Convert to fraction form
    31,134/47,613 = 47,613/x
  3. Step 3: Cross multiply
    31,134x = 47,613 × 47,613
  4. Step 4: Simplify right side
    31,134x = 2,266,997,769
  5. Step 5: Solve for x
    x = 2,266,997,769/31,134
  6. Step 6: Final answer
    x = 72,814.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.