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Finding the Third Proportional to 14,639.06 and 31,500.56

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Solution

The third proportional to 14,639.06 and 31,500.56 is: 67,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,639.06 : 31,500.56 = 31,500.56 : x
  2. Step 2: Convert to fraction form
    14,639.06/31,500.56 = 31,500.56/x
  3. Step 3: Cross multiply
    14,639.06x = 31,500.56 × 31,500.56
  4. Step 4: Simplify right side
    14,639.06x = 992,285,437.82
  5. Step 5: Solve for x
    x = 992,285,437.82/14,639.06
  6. Step 6: Final answer
    x = 67,783.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.