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Finding the Third Proportional to 7,893 and 14,773.50

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Solution

The third proportional to 7,893 and 14,773.50 is: 27,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893 : 14,773.50 = 14,773.50 : x
  2. Step 2: Convert to fraction form
    7,893/14,773.50 = 14,773.50/x
  3. Step 3: Cross multiply
    7,893x = 14,773.50 × 14,773.50
  4. Step 4: Simplify right side
    7,893x = 218,256,302.25
  5. Step 5: Solve for x
    x = 218,256,302.25/7,893
  6. Step 6: Final answer
    x = 27,651.88

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.