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Finding the Third Proportional to 7,384.50 and 15,942.66

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Solution

The third proportional to 7,384.50 and 15,942.66 is: 34,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.50 : 15,942.66 = 15,942.66 : x
  2. Step 2: Convert to fraction form
    7,384.50/15,942.66 = 15,942.66/x
  3. Step 3: Cross multiply
    7,384.50x = 15,942.66 × 15,942.66
  4. Step 4: Simplify right side
    7,384.50x = 254,168,288.31
  5. Step 5: Solve for x
    x = 254,168,288.31/7,384.50
  6. Step 6: Final answer
    x = 34,419.16

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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.