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Finding the Third Proportional to 7,879.50 and 12,332.25

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Solution

The third proportional to 7,879.50 and 12,332.25 is: 19,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.50 : 12,332.25 = 12,332.25 : x
  2. Step 2: Convert to fraction form
    7,879.50/12,332.25 = 12,332.25/x
  3. Step 3: Cross multiply
    7,879.50x = 12,332.25 × 12,332.25
  4. Step 4: Simplify right side
    7,879.50x = 152,084,390.06
  5. Step 5: Solve for x
    x = 152,084,390.06/7,879.50
  6. Step 6: Final answer
    x = 19,301.27

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.