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Finding the Third Proportional to 9,131 and 10,091

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Solution

The third proportional to 9,131 and 10,091 is: 11,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131 : 10,091 = 10,091 : x
  2. Step 2: Convert to fraction form
    9,131/10,091 = 10,091/x
  3. Step 3: Cross multiply
    9,131x = 10,091 × 10,091
  4. Step 4: Simplify right side
    9,131x = 101,828,281
  5. Step 5: Solve for x
    x = 101,828,281/9,131
  6. Step 6: Final answer
    x = 11,151.93

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.