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Finding the Third Proportional to 14,853 and 31,146

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Solution

The third proportional to 14,853 and 31,146 is: 65,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853 : 31,146 = 31,146 : x
  2. Step 2: Convert to fraction form
    14,853/31,146 = 31,146/x
  3. Step 3: Cross multiply
    14,853x = 31,146 × 31,146
  4. Step 4: Simplify right side
    14,853x = 970,073,316
  5. Step 5: Solve for x
    x = 970,073,316/14,853
  6. Step 6: Final answer
    x = 65,311.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.