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Finding the Third Proportional to 4,780.69 and 7,560.84

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Solution

The third proportional to 4,780.69 and 7,560.84 is: 11,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.69 : 7,560.84 = 7,560.84 : x
  2. Step 2: Convert to fraction form
    4,780.69/7,560.84 = 7,560.84/x
  3. Step 3: Cross multiply
    4,780.69x = 7,560.84 × 7,560.84
  4. Step 4: Simplify right side
    4,780.69x = 57,166,358.21
  5. Step 5: Solve for x
    x = 57,166,358.21/4,780.69
  6. Step 6: Final answer
    x = 11,957.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.