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Finding the Third Proportional to 8,935.95 and 14,770.79

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Solution

The third proportional to 8,935.95 and 14,770.79 is: 24,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935.95 : 14,770.79 = 14,770.79 : x
  2. Step 2: Convert to fraction form
    8,935.95/14,770.79 = 14,770.79/x
  3. Step 3: Cross multiply
    8,935.95x = 14,770.79 × 14,770.79
  4. Step 4: Simplify right side
    8,935.95x = 218,176,324.93
  5. Step 5: Solve for x
    x = 218,176,324.93/8,935.95
  6. Step 6: Final answer
    x = 24,415.58

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.