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Finding the Third Proportional to 4,835.53 and 6,524.30

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Solution

The third proportional to 4,835.53 and 6,524.30 is: 8,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.53 : 6,524.30 = 6,524.30 : x
  2. Step 2: Convert to fraction form
    4,835.53/6,524.30 = 6,524.30/x
  3. Step 3: Cross multiply
    4,835.53x = 6,524.30 × 6,524.30
  4. Step 4: Simplify right side
    4,835.53x = 42,566,449.71
  5. Step 5: Solve for x
    x = 42,566,449.71/4,835.53
  6. Step 6: Final answer
    x = 8,802.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.