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Finding the Third Proportional to 7,460.86 and 15,639.33

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Solution

The third proportional to 7,460.86 and 15,639.33 is: 32,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.86 : 15,639.33 = 15,639.33 : x
  2. Step 2: Convert to fraction form
    7,460.86/15,639.33 = 15,639.33/x
  3. Step 3: Cross multiply
    7,460.86x = 15,639.33 × 15,639.33
  4. Step 4: Simplify right side
    7,460.86x = 244,588,584.20
  5. Step 5: Solve for x
    x = 244,588,584.20/7,460.86
  6. Step 6: Final answer
    x = 32,782.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.