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Finding the Third Proportional to 17,310 and 24,634.50

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Solution

The third proportional to 17,310 and 24,634.50 is: 35,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310 : 24,634.50 = 24,634.50 : x
  2. Step 2: Convert to fraction form
    17,310/24,634.50 = 24,634.50/x
  3. Step 3: Cross multiply
    17,310x = 24,634.50 × 24,634.50
  4. Step 4: Simplify right side
    17,310x = 606,858,590.25
  5. Step 5: Solve for x
    x = 606,858,590.25/17,310
  6. Step 6: Final answer
    x = 35,058.27

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.