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Finding the Third Proportional to 7,042 and 9,091

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Solution

The third proportional to 7,042 and 9,091 is: 11,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042 : 9,091 = 9,091 : x
  2. Step 2: Convert to fraction form
    7,042/9,091 = 9,091/x
  3. Step 3: Cross multiply
    7,042x = 9,091 × 9,091
  4. Step 4: Simplify right side
    7,042x = 82,646,281
  5. Step 5: Solve for x
    x = 82,646,281/7,042
  6. Step 6: Final answer
    x = 11,736.19

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.