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Finding the Third Proportional to 17,310 and 40,849.50

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Solution

The third proportional to 17,310 and 40,849.50 is: 96,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310 : 40,849.50 = 40,849.50 : x
  2. Step 2: Convert to fraction form
    17,310/40,849.50 = 40,849.50/x
  3. Step 3: Cross multiply
    17,310x = 40,849.50 × 40,849.50
  4. Step 4: Simplify right side
    17,310x = 1,668,681,650.25
  5. Step 5: Solve for x
    x = 1,668,681,650.25/17,310
  6. Step 6: Final answer
    x = 96,399.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.