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Finding the Third Proportional to 7,057.75 and 14,898.50

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Solution

The third proportional to 7,057.75 and 14,898.50 is: 31,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.75 : 14,898.50 = 14,898.50 : x
  2. Step 2: Convert to fraction form
    7,057.75/14,898.50 = 14,898.50/x
  3. Step 3: Cross multiply
    7,057.75x = 14,898.50 × 14,898.50
  4. Step 4: Simplify right side
    7,057.75x = 221,965,302.25
  5. Step 5: Solve for x
    x = 221,965,302.25/7,057.75
  6. Step 6: Final answer
    x = 31,449.87

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