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Finding the Third Proportional to 6,225 and 9,653

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Solution

The third proportional to 6,225 and 9,653 is: 14,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225 : 9,653 = 9,653 : x
  2. Step 2: Convert to fraction form
    6,225/9,653 = 9,653/x
  3. Step 3: Cross multiply
    6,225x = 9,653 × 9,653
  4. Step 4: Simplify right side
    6,225x = 93,180,409
  5. Step 5: Solve for x
    x = 93,180,409/6,225
  6. Step 6: Final answer
    x = 14,968.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.