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Finding the Third Proportional to 6,036.19 and 6,643.69

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Solution

The third proportional to 6,036.19 and 6,643.69 is: 7,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.19 : 6,643.69 = 6,643.69 : x
  2. Step 2: Convert to fraction form
    6,036.19/6,643.69 = 6,643.69/x
  3. Step 3: Cross multiply
    6,036.19x = 6,643.69 × 6,643.69
  4. Step 4: Simplify right side
    6,036.19x = 44,138,583.60
  5. Step 5: Solve for x
    x = 44,138,583.60/6,036.19
  6. Step 6: Final answer
    x = 7,312.33

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.