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Finding the Third Proportional to 29,961 and 45,489.38

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Solution

The third proportional to 29,961 and 45,489.38 is: 69,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961 : 45,489.38 = 45,489.38 : x
  2. Step 2: Convert to fraction form
    29,961/45,489.38 = 45,489.38/x
  3. Step 3: Cross multiply
    29,961x = 45,489.38 × 45,489.38
  4. Step 4: Simplify right side
    29,961x = 2,069,283,237.89
  5. Step 5: Solve for x
    x = 2,069,283,237.89/29,961
  6. Step 6: Final answer
    x = 69,065.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.