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Finding the Third Proportional to 7,594.88 and 16,014.94

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Solution

The third proportional to 7,594.88 and 16,014.94 is: 33,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.88 : 16,014.94 = 16,014.94 : x
  2. Step 2: Convert to fraction form
    7,594.88/16,014.94 = 16,014.94/x
  3. Step 3: Cross multiply
    7,594.88x = 16,014.94 × 16,014.94
  4. Step 4: Simplify right side
    7,594.88x = 256,478,223.13
  5. Step 5: Solve for x
    x = 256,478,223.13/7,594.88
  6. Step 6: Final answer
    x = 33,769.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.