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Finding the Third Proportional to 9,699.75 and 15,688.69

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Solution

The third proportional to 9,699.75 and 15,688.69 is: 25,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.75 : 15,688.69 = 15,688.69 : x
  2. Step 2: Convert to fraction form
    9,699.75/15,688.69 = 15,688.69/x
  3. Step 3: Cross multiply
    9,699.75x = 15,688.69 × 15,688.69
  4. Step 4: Simplify right side
    9,699.75x = 246,134,915.47
  5. Step 5: Solve for x
    x = 246,134,915.47/9,699.75
  6. Step 6: Final answer
    x = 25,375.39

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.