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Finding the Third Proportional to 11,702.81 and 25,349.63

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Solution

The third proportional to 11,702.81 and 25,349.63 is: 54,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.81 : 25,349.63 = 25,349.63 : x
  2. Step 2: Convert to fraction form
    11,702.81/25,349.63 = 25,349.63/x
  3. Step 3: Cross multiply
    11,702.81x = 25,349.63 × 25,349.63
  4. Step 4: Simplify right side
    11,702.81x = 642,603,487.64
  5. Step 5: Solve for x
    x = 642,603,487.64/11,702.81
  6. Step 6: Final answer
    x = 54,910.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.