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Finding the Third Proportional to 14,678.50 and 31,751

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Solution

The third proportional to 14,678.50 and 31,751 is: 68,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.50 : 31,751 = 31,751 : x
  2. Step 2: Convert to fraction form
    14,678.50/31,751 = 31,751/x
  3. Step 3: Cross multiply
    14,678.50x = 31,751 × 31,751
  4. Step 4: Simplify right side
    14,678.50x = 1,008,126,001
  5. Step 5: Solve for x
    x = 1,008,126,001/14,678.50
  6. Step 6: Final answer
    x = 68,680.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.