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Finding the Third Proportional to 11,735.06 and 17,702.16

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Solution

The third proportional to 11,735.06 and 17,702.16 is: 26,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.06 : 17,702.16 = 17,702.16 : x
  2. Step 2: Convert to fraction form
    11,735.06/17,702.16 = 17,702.16/x
  3. Step 3: Cross multiply
    11,735.06x = 17,702.16 × 17,702.16
  4. Step 4: Simplify right side
    11,735.06x = 313,366,335.90
  5. Step 5: Solve for x
    x = 313,366,335.90/11,735.06
  6. Step 6: Final answer
    x = 26,703.42

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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.