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Finding the Third Proportional to 6,325.53 and 14,643.72

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Solution

The third proportional to 6,325.53 and 14,643.72 is: 33,900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.53 : 14,643.72 = 14,643.72 : x
  2. Step 2: Convert to fraction form
    6,325.53/14,643.72 = 14,643.72/x
  3. Step 3: Cross multiply
    6,325.53x = 14,643.72 × 14,643.72
  4. Step 4: Simplify right side
    6,325.53x = 214,438,427.33
  5. Step 5: Solve for x
    x = 214,438,427.33/6,325.53
  6. Step 6: Final answer
    x = 33,900.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.