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Finding the Third Proportional to 4,284.38 and 6,480.56

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Solution

The third proportional to 4,284.38 and 6,480.56 is: 9,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.38 : 6,480.56 = 6,480.56 : x
  2. Step 2: Convert to fraction form
    4,284.38/6,480.56 = 6,480.56/x
  3. Step 3: Cross multiply
    4,284.38x = 6,480.56 × 6,480.56
  4. Step 4: Simplify right side
    4,284.38x = 41,997,690.32
  5. Step 5: Solve for x
    x = 41,997,690.32/4,284.38
  6. Step 6: Final answer
    x = 9,802.52

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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.