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Finding the Third Proportional to 9,262.69 and 11,085.19

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Solution

The third proportional to 9,262.69 and 11,085.19 is: 13,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.69 : 11,085.19 = 11,085.19 : x
  2. Step 2: Convert to fraction form
    9,262.69/11,085.19 = 11,085.19/x
  3. Step 3: Cross multiply
    9,262.69x = 11,085.19 × 11,085.19
  4. Step 4: Simplify right side
    9,262.69x = 122,881,381.91
  5. Step 5: Solve for x
    x = 122,881,381.91/9,262.69
  6. Step 6: Final answer
    x = 13,266.28

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.