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Finding the Third Proportional to 35,355 and 74,345.25

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Solution

The third proportional to 35,355 and 74,345.25 is: 156,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,355 : 74,345.25 = 74,345.25 : x
  2. Step 2: Convert to fraction form
    35,355/74,345.25 = 74,345.25/x
  3. Step 3: Cross multiply
    35,355x = 74,345.25 × 74,345.25
  4. Step 4: Simplify right side
    35,355x = 5,527,216,197.56
  5. Step 5: Solve for x
    x = 5,527,216,197.56/35,355
  6. Step 6: Final answer
    x = 156,334.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.