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Finding the Third Proportional to 7,445.67 and 16,072.17

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Solution

The third proportional to 7,445.67 and 16,072.17 is: 34,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.67 : 16,072.17 = 16,072.17 : x
  2. Step 2: Convert to fraction form
    7,445.67/16,072.17 = 16,072.17/x
  3. Step 3: Cross multiply
    7,445.67x = 16,072.17 × 16,072.17
  4. Step 4: Simplify right side
    7,445.67x = 258,314,708.78
  5. Step 5: Solve for x
    x = 258,314,708.78/7,445.67
  6. Step 6: Final answer
    x = 34,693.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.