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Finding the Third Proportional to 3,070.13 and 4,942.69

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Solution

The third proportional to 3,070.13 and 4,942.69 is: 7,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.13 : 4,942.69 = 4,942.69 : x
  2. Step 2: Convert to fraction form
    3,070.13/4,942.69 = 4,942.69/x
  3. Step 3: Cross multiply
    3,070.13x = 4,942.69 × 4,942.69
  4. Step 4: Simplify right side
    3,070.13x = 24,430,159.72
  5. Step 5: Solve for x
    x = 24,430,159.72/3,070.13
  6. Step 6: Final answer
    x = 7,957.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.