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Finding the Third Proportional to 7,267.50 and 10,641.75

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Solution

The third proportional to 7,267.50 and 10,641.75 is: 15,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.50 : 10,641.75 = 10,641.75 : x
  2. Step 2: Convert to fraction form
    7,267.50/10,641.75 = 10,641.75/x
  3. Step 3: Cross multiply
    7,267.50x = 10,641.75 × 10,641.75
  4. Step 4: Simplify right side
    7,267.50x = 113,246,843.06
  5. Step 5: Solve for x
    x = 113,246,843.06/7,267.50
  6. Step 6: Final answer
    x = 15,582.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.