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Finding the Third Proportional to 13,044 and 19,854

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Solution

The third proportional to 13,044 and 19,854 is: 30,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,044 : 19,854 = 19,854 : x
  2. Step 2: Convert to fraction form
    13,044/19,854 = 19,854/x
  3. Step 3: Cross multiply
    13,044x = 19,854 × 19,854
  4. Step 4: Simplify right side
    13,044x = 394,181,316
  5. Step 5: Solve for x
    x = 394,181,316/13,044
  6. Step 6: Final answer
    x = 30,219.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.