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Finding the Third Proportional to 34,984.13 and 75,494.25

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Solution

The third proportional to 34,984.13 and 75,494.25 is: 162,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,984.13 : 75,494.25 = 75,494.25 : x
  2. Step 2: Convert to fraction form
    34,984.13/75,494.25 = 75,494.25/x
  3. Step 3: Cross multiply
    34,984.13x = 75,494.25 × 75,494.25
  4. Step 4: Simplify right side
    34,984.13x = 5,699,381,783.06
  5. Step 5: Solve for x
    x = 5,699,381,783.06/34,984.13
  6. Step 6: Final answer
    x = 162,913.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.