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Finding the Third Proportional to 19,086.89 and 29,144.81

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Solution

The third proportional to 19,086.89 and 29,144.81 is: 44,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086.89 : 29,144.81 = 29,144.81 : x
  2. Step 2: Convert to fraction form
    19,086.89/29,144.81 = 29,144.81/x
  3. Step 3: Cross multiply
    19,086.89x = 29,144.81 × 29,144.81
  4. Step 4: Simplify right side
    19,086.89x = 849,420,095.66
  5. Step 5: Solve for x
    x = 849,420,095.66/19,086.89
  6. Step 6: Final answer
    x = 44,502.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.