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Finding the Third Proportional to 35,177.63 and 71,789.63

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Solution

The third proportional to 35,177.63 and 71,789.63 is: 146,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,177.63 : 71,789.63 = 71,789.63 : x
  2. Step 2: Convert to fraction form
    35,177.63/71,789.63 = 71,789.63/x
  3. Step 3: Cross multiply
    35,177.63x = 71,789.63 × 71,789.63
  4. Step 4: Simplify right side
    35,177.63x = 5,153,750,257.64
  5. Step 5: Solve for x
    x = 5,153,750,257.64/35,177.63
  6. Step 6: Final answer
    x = 146,506.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.