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Finding the Third Proportional to 4,495.66 and 6,805.96

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Solution

The third proportional to 4,495.66 and 6,805.96 is: 10,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.66 : 6,805.96 = 6,805.96 : x
  2. Step 2: Convert to fraction form
    4,495.66/6,805.96 = 6,805.96/x
  3. Step 3: Cross multiply
    4,495.66x = 6,805.96 × 6,805.96
  4. Step 4: Simplify right side
    4,495.66x = 46,321,051.11
  5. Step 5: Solve for x
    x = 46,321,051.11/4,495.66
  6. Step 6: Final answer
    x = 10,303.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.