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Finding the Third Proportional to 8,937.84 and 17,064

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Solution

The third proportional to 8,937.84 and 17,064 is: 32,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937.84 : 17,064 = 17,064 : x
  2. Step 2: Convert to fraction form
    8,937.84/17,064 = 17,064/x
  3. Step 3: Cross multiply
    8,937.84x = 17,064 × 17,064
  4. Step 4: Simplify right side
    8,937.84x = 291,180,096
  5. Step 5: Solve for x
    x = 291,180,096/8,937.84
  6. Step 6: Final answer
    x = 32,578.34

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.