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Finding the Third Proportional to 5,963.63 and 6,837.75

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Solution

The third proportional to 5,963.63 and 6,837.75 is: 7,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.63 : 6,837.75 = 6,837.75 : x
  2. Step 2: Convert to fraction form
    5,963.63/6,837.75 = 6,837.75/x
  3. Step 3: Cross multiply
    5,963.63x = 6,837.75 × 6,837.75
  4. Step 4: Simplify right side
    5,963.63x = 46,754,825.06
  5. Step 5: Solve for x
    x = 46,754,825.06/5,963.63
  6. Step 6: Final answer
    x = 7,840.00

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.