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Finding the Third Proportional to 8,995.75 and 13,147.63

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Solution

The third proportional to 8,995.75 and 13,147.63 is: 19,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,995.75 : 13,147.63 = 13,147.63 : x
  2. Step 2: Convert to fraction form
    8,995.75/13,147.63 = 13,147.63/x
  3. Step 3: Cross multiply
    8,995.75x = 13,147.63 × 13,147.63
  4. Step 4: Simplify right side
    8,995.75x = 172,860,145.86
  5. Step 5: Solve for x
    x = 172,860,145.86/8,995.75
  6. Step 6: Final answer
    x = 19,215.77

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