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Finding the Third Proportional to 5,301.75 and 6,656.25

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Solution

The third proportional to 5,301.75 and 6,656.25 is: 8,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.75 : 6,656.25 = 6,656.25 : x
  2. Step 2: Convert to fraction form
    5,301.75/6,656.25 = 6,656.25/x
  3. Step 3: Cross multiply
    5,301.75x = 6,656.25 × 6,656.25
  4. Step 4: Simplify right side
    5,301.75x = 44,305,664.06
  5. Step 5: Solve for x
    x = 44,305,664.06/5,301.75
  6. Step 6: Final answer
    x = 8,356.80

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.