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Finding the Third Proportional to 8,111.25 and 12,525.38

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Solution

The third proportional to 8,111.25 and 12,525.38 is: 19,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.25 : 12,525.38 = 12,525.38 : x
  2. Step 2: Convert to fraction form
    8,111.25/12,525.38 = 12,525.38/x
  3. Step 3: Cross multiply
    8,111.25x = 12,525.38 × 12,525.38
  4. Step 4: Simplify right side
    8,111.25x = 156,885,018.89
  5. Step 5: Solve for x
    x = 156,885,018.89/8,111.25
  6. Step 6: Final answer
    x = 19,341.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.