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Finding the Third Proportional to 36,419.63 and 49,203.70

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Solution

The third proportional to 36,419.63 and 49,203.70 is: 66,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,419.63 : 49,203.70 = 49,203.70 : x
  2. Step 2: Convert to fraction form
    36,419.63/49,203.70 = 49,203.70/x
  3. Step 3: Cross multiply
    36,419.63x = 49,203.70 × 49,203.70
  4. Step 4: Simplify right side
    36,419.63x = 2,421,004,401.21
  5. Step 5: Solve for x
    x = 2,421,004,401.21/36,419.63
  6. Step 6: Final answer
    x = 66,475.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.