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Finding the Third Proportional to 5,045.63 and 6,643.69

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Solution

The third proportional to 5,045.63 and 6,643.69 is: 8,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.63 : 6,643.69 = 6,643.69 : x
  2. Step 2: Convert to fraction form
    5,045.63/6,643.69 = 6,643.69/x
  3. Step 3: Cross multiply
    5,045.63x = 6,643.69 × 6,643.69
  4. Step 4: Simplify right side
    5,045.63x = 44,138,583.60
  5. Step 5: Solve for x
    x = 44,138,583.60/5,045.63
  6. Step 6: Final answer
    x = 8,747.89

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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.