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Finding the Third Proportional to 50,351.63 and 70,583.63

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Solution

The third proportional to 50,351.63 and 70,583.63 is: 98,945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,351.63 : 70,583.63 = 70,583.63 : x
  2. Step 2: Convert to fraction form
    50,351.63/70,583.63 = 70,583.63/x
  3. Step 3: Cross multiply
    50,351.63x = 70,583.63 × 70,583.63
  4. Step 4: Simplify right side
    50,351.63x = 4,982,048,118.14
  5. Step 5: Solve for x
    x = 4,982,048,118.14/50,351.63
  6. Step 6: Final answer
    x = 98,945.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.