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Finding the Third Proportional to 4,329.84 and 5,877.56

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Solution

The third proportional to 4,329.84 and 5,877.56 is: 7,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.84 : 5,877.56 = 5,877.56 : x
  2. Step 2: Convert to fraction form
    4,329.84/5,877.56 = 5,877.56/x
  3. Step 3: Cross multiply
    4,329.84x = 5,877.56 × 5,877.56
  4. Step 4: Simplify right side
    4,329.84x = 34,545,740.94
  5. Step 5: Solve for x
    x = 34,545,740.94/4,329.84
  6. Step 6: Final answer
    x = 7,978.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.