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Finding the Third Proportional to 35,763.19 and 76,148.44

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Solution

The third proportional to 35,763.19 and 76,148.44 is: 162,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,763.19 : 76,148.44 = 76,148.44 : x
  2. Step 2: Convert to fraction form
    35,763.19/76,148.44 = 76,148.44/x
  3. Step 3: Cross multiply
    35,763.19x = 76,148.44 × 76,148.44
  4. Step 4: Simplify right side
    35,763.19x = 5,798,584,533.69
  5. Step 5: Solve for x
    x = 5,798,584,533.69/35,763.19
  6. Step 6: Final answer
    x = 162,138.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.