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Finding the Third Proportional to 43,018 and 64,545

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Solution

The third proportional to 43,018 and 64,545 is: 96,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,018 : 64,545 = 64,545 : x
  2. Step 2: Convert to fraction form
    43,018/64,545 = 64,545/x
  3. Step 3: Cross multiply
    43,018x = 64,545 × 64,545
  4. Step 4: Simplify right side
    43,018x = 4,166,057,025
  5. Step 5: Solve for x
    x = 4,166,057,025/43,018
  6. Step 6: Final answer
    x = 96,844.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.