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Finding the Third Proportional to 34,406 and 56,943

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Solution

The third proportional to 34,406 and 56,943 is: 94,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406 : 56,943 = 56,943 : x
  2. Step 2: Convert to fraction form
    34,406/56,943 = 56,943/x
  3. Step 3: Cross multiply
    34,406x = 56,943 × 56,943
  4. Step 4: Simplify right side
    34,406x = 3,242,505,249
  5. Step 5: Solve for x
    x = 3,242,505,249/34,406
  6. Step 6: Final answer
    x = 94,242.44

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.