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Finding the Third Proportional to 14,063 and 29,707

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Solution

The third proportional to 14,063 and 29,707 is: 62,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,063 : 29,707 = 29,707 : x
  2. Step 2: Convert to fraction form
    14,063/29,707 = 29,707/x
  3. Step 3: Cross multiply
    14,063x = 29,707 × 29,707
  4. Step 4: Simplify right side
    14,063x = 882,505,849
  5. Step 5: Solve for x
    x = 882,505,849/14,063
  6. Step 6: Final answer
    x = 62,753.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.