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Finding the Third Proportional to 6,656.25 and 14,337.75

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Solution

The third proportional to 6,656.25 and 14,337.75 is: 30,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.25 : 14,337.75 = 14,337.75 : x
  2. Step 2: Convert to fraction form
    6,656.25/14,337.75 = 14,337.75/x
  3. Step 3: Cross multiply
    6,656.25x = 14,337.75 × 14,337.75
  4. Step 4: Simplify right side
    6,656.25x = 205,571,075.06
  5. Step 5: Solve for x
    x = 205,571,075.06/6,656.25
  6. Step 6: Final answer
    x = 30,883.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.