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Finding the Third Proportional to 15,297.19 and 23,640.19

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Solution

The third proportional to 15,297.19 and 23,640.19 is: 36,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.19 : 23,640.19 = 23,640.19 : x
  2. Step 2: Convert to fraction form
    15,297.19/23,640.19 = 23,640.19/x
  3. Step 3: Cross multiply
    15,297.19x = 23,640.19 × 23,640.19
  4. Step 4: Simplify right side
    15,297.19x = 558,858,465.04
  5. Step 5: Solve for x
    x = 558,858,465.04/15,297.19
  6. Step 6: Final answer
    x = 36,533.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.