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Finding the Third Proportional to 19,164.75 and 42,109.75

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Solution

The third proportional to 19,164.75 and 42,109.75 is: 92,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,164.75 : 42,109.75 = 42,109.75 : x
  2. Step 2: Convert to fraction form
    19,164.75/42,109.75 = 42,109.75/x
  3. Step 3: Cross multiply
    19,164.75x = 42,109.75 × 42,109.75
  4. Step 4: Simplify right side
    19,164.75x = 1,773,231,045.06
  5. Step 5: Solve for x
    x = 1,773,231,045.06/19,164.75
  6. Step 6: Final answer
    x = 92,525.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.