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Finding the Third Proportional to 7,663.50 and 10,551.75

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Solution

The third proportional to 7,663.50 and 10,551.75 is: 14,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.50 : 10,551.75 = 10,551.75 : x
  2. Step 2: Convert to fraction form
    7,663.50/10,551.75 = 10,551.75/x
  3. Step 3: Cross multiply
    7,663.50x = 10,551.75 × 10,551.75
  4. Step 4: Simplify right side
    7,663.50x = 111,339,428.06
  5. Step 5: Solve for x
    x = 111,339,428.06/7,663.50
  6. Step 6: Final answer
    x = 14,528.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.