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Finding the Third Proportional to 7,042.92 and 10,968.12

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Solution

The third proportional to 7,042.92 and 10,968.12 is: 17,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.92 : 10,968.12 = 10,968.12 : x
  2. Step 2: Convert to fraction form
    7,042.92/10,968.12 = 10,968.12/x
  3. Step 3: Cross multiply
    7,042.92x = 10,968.12 × 10,968.12
  4. Step 4: Simplify right side
    7,042.92x = 120,299,594.64
  5. Step 5: Solve for x
    x = 120,299,594.64/7,042.92
  6. Step 6: Final answer
    x = 17,080.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.