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Finding the Third Proportional to 35,070.75 and 72,635.63

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Solution

The third proportional to 35,070.75 and 72,635.63 is: 150,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,070.75 : 72,635.63 = 72,635.63 : x
  2. Step 2: Convert to fraction form
    35,070.75/72,635.63 = 72,635.63/x
  3. Step 3: Cross multiply
    35,070.75x = 72,635.63 × 72,635.63
  4. Step 4: Simplify right side
    35,070.75x = 5,275,934,019.14
  5. Step 5: Solve for x
    x = 5,275,934,019.14/35,070.75
  6. Step 6: Final answer
    x = 150,436.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.