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Finding the Third Proportional to 7,357.50 and 16,065

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Solution

The third proportional to 7,357.50 and 16,065 is: 35,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.50 : 16,065 = 16,065 : x
  2. Step 2: Convert to fraction form
    7,357.50/16,065 = 16,065/x
  3. Step 3: Cross multiply
    7,357.50x = 16,065 × 16,065
  4. Step 4: Simplify right side
    7,357.50x = 258,084,225
  5. Step 5: Solve for x
    x = 258,084,225/7,357.50
  6. Step 6: Final answer
    x = 35,077.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.