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Finding the Third Proportional to 4,320.84 and 8,307.56

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Solution

The third proportional to 4,320.84 and 8,307.56 is: 15,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.84 : 8,307.56 = 8,307.56 : x
  2. Step 2: Convert to fraction form
    4,320.84/8,307.56 = 8,307.56/x
  3. Step 3: Cross multiply
    4,320.84x = 8,307.56 × 8,307.56
  4. Step 4: Simplify right side
    4,320.84x = 69,015,594.69
  5. Step 5: Solve for x
    x = 69,015,594.69/4,320.84
  6. Step 6: Final answer
    x = 15,972.71

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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.