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Finding the Third Proportional to 7,303.50 and 11,628.56

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Solution

The third proportional to 7,303.50 and 11,628.56 is: 18,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.50 : 11,628.56 = 11,628.56 : x
  2. Step 2: Convert to fraction form
    7,303.50/11,628.56 = 11,628.56/x
  3. Step 3: Cross multiply
    7,303.50x = 11,628.56 × 11,628.56
  4. Step 4: Simplify right side
    7,303.50x = 135,223,465.82
  5. Step 5: Solve for x
    x = 135,223,465.82/7,303.50
  6. Step 6: Final answer
    x = 18,514.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.