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Finding the Third Proportional to 7,525.41 and 12,020.91

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Solution

The third proportional to 7,525.41 and 12,020.91 is: 19,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.41 : 12,020.91 = 12,020.91 : x
  2. Step 2: Convert to fraction form
    7,525.41/12,020.91 = 12,020.91/x
  3. Step 3: Cross multiply
    7,525.41x = 12,020.91 × 12,020.91
  4. Step 4: Simplify right side
    7,525.41x = 144,502,187.07
  5. Step 5: Solve for x
    x = 144,502,187.07/7,525.41
  6. Step 6: Final answer
    x = 19,201.91

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.