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Finding the Third Proportional to 17,768 and 24,411

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Solution

The third proportional to 17,768 and 24,411 is: 33,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768 : 24,411 = 24,411 : x
  2. Step 2: Convert to fraction form
    17,768/24,411 = 24,411/x
  3. Step 3: Cross multiply
    17,768x = 24,411 × 24,411
  4. Step 4: Simplify right side
    17,768x = 595,896,921
  5. Step 5: Solve for x
    x = 595,896,921/17,768
  6. Step 6: Final answer
    x = 33,537.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.