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Finding the Third Proportional to 29,961 and 45,489

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Solution

The third proportional to 29,961 and 45,489 is: 69,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961 : 45,489 = 45,489 : x
  2. Step 2: Convert to fraction form
    29,961/45,489 = 45,489/x
  3. Step 3: Cross multiply
    29,961x = 45,489 × 45,489
  4. Step 4: Simplify right side
    29,961x = 2,069,249,121
  5. Step 5: Solve for x
    x = 2,069,249,121/29,961
  6. Step 6: Final answer
    x = 69,064.75

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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.