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Finding the Third Proportional to 6,697.69 and 15,445.69

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Solution

The third proportional to 6,697.69 and 15,445.69 is: 35,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.69 : 15,445.69 = 15,445.69 : x
  2. Step 2: Convert to fraction form
    6,697.69/15,445.69 = 15,445.69/x
  3. Step 3: Cross multiply
    6,697.69x = 15,445.69 × 15,445.69
  4. Step 4: Simplify right side
    6,697.69x = 238,569,262.35
  5. Step 5: Solve for x
    x = 238,569,262.35/6,697.69
  6. Step 6: Final answer
    x = 35,619.65

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.