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Finding the Third Proportional to 7,554.75 and 16,407.19

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Solution

The third proportional to 7,554.75 and 16,407.19 is: 35,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,554.75 : 16,407.19 = 16,407.19 : x
  2. Step 2: Convert to fraction form
    7,554.75/16,407.19 = 16,407.19/x
  3. Step 3: Cross multiply
    7,554.75x = 16,407.19 × 16,407.19
  4. Step 4: Simplify right side
    7,554.75x = 269,195,801.66
  5. Step 5: Solve for x
    x = 269,195,801.66/7,554.75
  6. Step 6: Final answer
    x = 35,632.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.