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Finding the Third Proportional to 42,071 and 64,327

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Solution

The third proportional to 42,071 and 64,327 is: 98,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,071 : 64,327 = 64,327 : x
  2. Step 2: Convert to fraction form
    42,071/64,327 = 64,327/x
  3. Step 3: Cross multiply
    42,071x = 64,327 × 64,327
  4. Step 4: Simplify right side
    42,071x = 4,137,962,929
  5. Step 5: Solve for x
    x = 4,137,962,929/42,071
  6. Step 6: Final answer
    x = 98,356.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.