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Finding the Third Proportional to 34,545 and 61,983

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Solution

The third proportional to 34,545 and 61,983 is: 111,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,545 : 61,983 = 61,983 : x
  2. Step 2: Convert to fraction form
    34,545/61,983 = 61,983/x
  3. Step 3: Cross multiply
    34,545x = 61,983 × 61,983
  4. Step 4: Simplify right side
    34,545x = 3,841,892,289
  5. Step 5: Solve for x
    x = 3,841,892,289/34,545
  6. Step 6: Final answer
    x = 111,214.13

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.