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Finding the Third Proportional to 15,319.13 and 23,626.69

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Solution

The third proportional to 15,319.13 and 23,626.69 is: 36,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319.13 : 23,626.69 = 23,626.69 : x
  2. Step 2: Convert to fraction form
    15,319.13/23,626.69 = 23,626.69/x
  3. Step 3: Cross multiply
    15,319.13x = 23,626.69 × 23,626.69
  4. Step 4: Simplify right side
    15,319.13x = 558,220,362.22
  5. Step 5: Solve for x
    x = 558,220,362.22/15,319.13
  6. Step 6: Final answer
    x = 36,439.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.