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Finding the Third Proportional to 7,594.70 and 17,666.86

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Solution

The third proportional to 7,594.70 and 17,666.86 is: 41,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.70 : 17,666.86 = 17,666.86 : x
  2. Step 2: Convert to fraction form
    7,594.70/17,666.86 = 17,666.86/x
  3. Step 3: Cross multiply
    7,594.70x = 17,666.86 × 17,666.86
  4. Step 4: Simplify right side
    7,594.70x = 312,117,920.18
  5. Step 5: Solve for x
    x = 312,117,920.18/7,594.70
  6. Step 6: Final answer
    x = 41,096.81

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.