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Finding the Third Proportional to 19,009.69 and 41,527.69

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Solution

The third proportional to 19,009.69 and 41,527.69 is: 90,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,009.69 : 41,527.69 = 41,527.69 : x
  2. Step 2: Convert to fraction form
    19,009.69/41,527.69 = 41,527.69/x
  3. Step 3: Cross multiply
    19,009.69x = 41,527.69 × 41,527.69
  4. Step 4: Simplify right side
    19,009.69x = 1,724,548,829.10
  5. Step 5: Solve for x
    x = 1,724,548,829.10/19,009.69
  6. Step 6: Final answer
    x = 90,719.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.