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Finding the Third Proportional to 5,024.53 and 6,607.83

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Solution

The third proportional to 5,024.53 and 6,607.83 is: 8,690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.53 : 6,607.83 = 6,607.83 : x
  2. Step 2: Convert to fraction form
    5,024.53/6,607.83 = 6,607.83/x
  3. Step 3: Cross multiply
    5,024.53x = 6,607.83 × 6,607.83
  4. Step 4: Simplify right side
    5,024.53x = 43,663,392.53
  5. Step 5: Solve for x
    x = 43,663,392.53/5,024.53
  6. Step 6: Final answer
    x = 8,690.04

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.