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Finding the Third Proportional to 6,320.53 and 13,672.55

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Solution

The third proportional to 6,320.53 and 13,672.55 is: 29,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.53 : 13,672.55 = 13,672.55 : x
  2. Step 2: Convert to fraction form
    6,320.53/13,672.55 = 13,672.55/x
  3. Step 3: Cross multiply
    6,320.53x = 13,672.55 × 13,672.55
  4. Step 4: Simplify right side
    6,320.53x = 186,938,538.05
  5. Step 5: Solve for x
    x = 186,938,538.05/6,320.53
  6. Step 6: Final answer
    x = 29,576.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.