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Finding the Third Proportional to 19,109.67 and 44,963.86

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Solution

The third proportional to 19,109.67 and 44,963.86 is: 105,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,109.67 : 44,963.86 = 44,963.86 : x
  2. Step 2: Convert to fraction form
    19,109.67/44,963.86 = 44,963.86/x
  3. Step 3: Cross multiply
    19,109.67x = 44,963.86 × 44,963.86
  4. Step 4: Simplify right side
    19,109.67x = 2,021,748,649.89
  5. Step 5: Solve for x
    x = 2,021,748,649.89/19,109.67
  6. Step 6: Final answer
    x = 105,797.14

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.