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Finding the Third Proportional to 7,343.16 and 17,127.70

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Solution

The third proportional to 7,343.16 and 17,127.70 is: 39,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.16 : 17,127.70 = 17,127.70 : x
  2. Step 2: Convert to fraction form
    7,343.16/17,127.70 = 17,127.70/x
  3. Step 3: Cross multiply
    7,343.16x = 17,127.70 × 17,127.70
  4. Step 4: Simplify right side
    7,343.16x = 293,358,214.34
  5. Step 5: Solve for x
    x = 293,358,214.34/7,343.16
  6. Step 6: Final answer
    x = 39,949.88

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.