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Finding the Third Proportional to 19,430.81 and 41,834.81

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Solution

The third proportional to 19,430.81 and 41,834.81 is: 90,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,430.81 : 41,834.81 = 41,834.81 : x
  2. Step 2: Convert to fraction form
    19,430.81/41,834.81 = 41,834.81/x
  3. Step 3: Cross multiply
    19,430.81x = 41,834.81 × 41,834.81
  4. Step 4: Simplify right side
    19,430.81x = 1,750,151,536.91
  5. Step 5: Solve for x
    x = 1,750,151,536.91/19,430.81
  6. Step 6: Final answer
    x = 90,070.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.