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Finding the Third Proportional to 14,337 and 31,143

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Solution

The third proportional to 14,337 and 31,143 is: 67,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337 : 31,143 = 31,143 : x
  2. Step 2: Convert to fraction form
    14,337/31,143 = 31,143/x
  3. Step 3: Cross multiply
    14,337x = 31,143 × 31,143
  4. Step 4: Simplify right side
    14,337x = 969,886,449
  5. Step 5: Solve for x
    x = 969,886,449/14,337
  6. Step 6: Final answer
    x = 67,649.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.