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Finding the Third Proportional to 35,665.78 and 84,345.66

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Solution

The third proportional to 35,665.78 and 84,345.66 is: 199,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,665.78 : 84,345.66 = 84,345.66 : x
  2. Step 2: Convert to fraction form
    35,665.78/84,345.66 = 84,345.66/x
  3. Step 3: Cross multiply
    35,665.78x = 84,345.66 × 84,345.66
  4. Step 4: Simplify right side
    35,665.78x = 7,114,189,728.24
  5. Step 5: Solve for x
    x = 7,114,189,728.24/35,665.78
  6. Step 6: Final answer
    x = 199,468.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.