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Finding the Third Proportional to 11,702.25 and 17,701.88

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Solution

The third proportional to 11,702.25 and 17,701.88 is: 26,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.25 : 17,701.88 = 17,701.88 : x
  2. Step 2: Convert to fraction form
    11,702.25/17,701.88 = 17,701.88/x
  3. Step 3: Cross multiply
    11,702.25x = 17,701.88 × 17,701.88
  4. Step 4: Simplify right side
    11,702.25x = 313,356,378.52
  5. Step 5: Solve for x
    x = 313,356,378.52/11,702.25
  6. Step 6: Final answer
    x = 26,777.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.