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Finding the Third Proportional to 14,509.76 and 31,753.27

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Solution

The third proportional to 14,509.76 and 31,753.27 is: 69,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.76 : 31,753.27 = 31,753.27 : x
  2. Step 2: Convert to fraction form
    14,509.76/31,753.27 = 31,753.27/x
  3. Step 3: Cross multiply
    14,509.76x = 31,753.27 × 31,753.27
  4. Step 4: Simplify right side
    14,509.76x = 1,008,269,877.85
  5. Step 5: Solve for x
    x = 1,008,269,877.85/14,509.76
  6. Step 6: Final answer
    x = 69,489.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.