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Finding the Third Proportional to 7,605 and 16,328.25

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Solution

The third proportional to 7,605 and 16,328.25 is: 35,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605 : 16,328.25 = 16,328.25 : x
  2. Step 2: Convert to fraction form
    7,605/16,328.25 = 16,328.25/x
  3. Step 3: Cross multiply
    7,605x = 16,328.25 × 16,328.25
  4. Step 4: Simplify right side
    7,605x = 266,611,748.06
  5. Step 5: Solve for x
    x = 266,611,748.06/7,605
  6. Step 6: Final answer
    x = 35,057.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.