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Finding the Third Proportional to 29,962.13 and 60,774.75

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Solution

The third proportional to 29,962.13 and 60,774.75 is: 123,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962.13 : 60,774.75 = 60,774.75 : x
  2. Step 2: Convert to fraction form
    29,962.13/60,774.75 = 60,774.75/x
  3. Step 3: Cross multiply
    29,962.13x = 60,774.75 × 60,774.75
  4. Step 4: Simplify right side
    29,962.13x = 3,693,570,237.56
  5. Step 5: Solve for x
    x = 3,693,570,237.56/29,962.13
  6. Step 6: Final answer
    x = 123,274.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.