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Finding the Third Proportional to 7,727.63 and 14,839.59

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Solution

The third proportional to 7,727.63 and 14,839.59 is: 28,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.63 : 14,839.59 = 14,839.59 : x
  2. Step 2: Convert to fraction form
    7,727.63/14,839.59 = 14,839.59/x
  3. Step 3: Cross multiply
    7,727.63x = 14,839.59 × 14,839.59
  4. Step 4: Simplify right side
    7,727.63x = 220,213,542.67
  5. Step 5: Solve for x
    x = 220,213,542.67/7,727.63
  6. Step 6: Final answer
    x = 28,496.92

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.