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Finding the Third Proportional to 6,424.31 and 9,653.55

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Solution

The third proportional to 6,424.31 and 9,653.55 is: 14,506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.31 : 9,653.55 = 9,653.55 : x
  2. Step 2: Convert to fraction form
    6,424.31/9,653.55 = 9,653.55/x
  3. Step 3: Cross multiply
    6,424.31x = 9,653.55 × 9,653.55
  4. Step 4: Simplify right side
    6,424.31x = 93,191,118.10
  5. Step 5: Solve for x
    x = 93,191,118.10/6,424.31
  6. Step 6: Final answer
    x = 14,506.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.