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Finding the Third Proportional to 9,754.17 and 20,172.80

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Solution

The third proportional to 9,754.17 and 20,172.80 is: 41,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.17 : 20,172.80 = 20,172.80 : x
  2. Step 2: Convert to fraction form
    9,754.17/20,172.80 = 20,172.80/x
  3. Step 3: Cross multiply
    9,754.17x = 20,172.80 × 20,172.80
  4. Step 4: Simplify right side
    9,754.17x = 406,941,733.76
  5. Step 5: Solve for x
    x = 406,941,733.76/9,754.17
  6. Step 6: Final answer
    x = 41,719.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.