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Finding the Third Proportional to 10,702.13 and 11,657.25

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Solution

The third proportional to 10,702.13 and 11,657.25 is: 12,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.13 : 11,657.25 = 11,657.25 : x
  2. Step 2: Convert to fraction form
    10,702.13/11,657.25 = 11,657.25/x
  3. Step 3: Cross multiply
    10,702.13x = 11,657.25 × 11,657.25
  4. Step 4: Simplify right side
    10,702.13x = 135,891,477.56
  5. Step 5: Solve for x
    x = 135,891,477.56/10,702.13
  6. Step 6: Final answer
    x = 12,697.62

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.