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Finding the Third Proportional to 19,583.81 and 29,419.14

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Solution

The third proportional to 19,583.81 and 29,419.14 is: 44,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583.81 : 29,419.14 = 29,419.14 : x
  2. Step 2: Convert to fraction form
    19,583.81/29,419.14 = 29,419.14/x
  3. Step 3: Cross multiply
    19,583.81x = 29,419.14 × 29,419.14
  4. Step 4: Simplify right side
    19,583.81x = 865,485,605.28
  5. Step 5: Solve for x
    x = 865,485,605.28/19,583.81
  6. Step 6: Final answer
    x = 44,193.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.