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Finding the Third Proportional to 7,165.69 and 11,068.03

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Solution

The third proportional to 7,165.69 and 11,068.03 is: 17,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.69 : 11,068.03 = 11,068.03 : x
  2. Step 2: Convert to fraction form
    7,165.69/11,068.03 = 11,068.03/x
  3. Step 3: Cross multiply
    7,165.69x = 11,068.03 × 11,068.03
  4. Step 4: Simplify right side
    7,165.69x = 122,501,315.75
  5. Step 5: Solve for x
    x = 122,501,315.75/7,165.69
  6. Step 6: Final answer
    x = 17,095.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.