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Finding the Third Proportional to 19,044 and 44,505

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Solution

The third proportional to 19,044 and 44,505 is: 104,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,044 : 44,505 = 44,505 : x
  2. Step 2: Convert to fraction form
    19,044/44,505 = 44,505/x
  3. Step 3: Cross multiply
    19,044x = 44,505 × 44,505
  4. Step 4: Simplify right side
    19,044x = 1,980,695,025
  5. Step 5: Solve for x
    x = 1,980,695,025/19,044
  6. Step 6: Final answer
    x = 104,006.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.