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Finding the Third Proportional to 26,421.19 and 41,203.69

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Solution

The third proportional to 26,421.19 and 41,203.69 is: 64,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,421.19 : 41,203.69 = 41,203.69 : x
  2. Step 2: Convert to fraction form
    26,421.19/41,203.69 = 41,203.69/x
  3. Step 3: Cross multiply
    26,421.19x = 41,203.69 × 41,203.69
  4. Step 4: Simplify right side
    26,421.19x = 1,697,743,863.60
  5. Step 5: Solve for x
    x = 1,697,743,863.60/26,421.19
  6. Step 6: Final answer
    x = 64,256.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.