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Finding the Third Proportional to 19,159.50 and 31,662

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Solution

The third proportional to 19,159.50 and 31,662 is: 52,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,159.50 : 31,662 = 31,662 : x
  2. Step 2: Convert to fraction form
    19,159.50/31,662 = 31,662/x
  3. Step 3: Cross multiply
    19,159.50x = 31,662 × 31,662
  4. Step 4: Simplify right side
    19,159.50x = 1,002,482,244
  5. Step 5: Solve for x
    x = 1,002,482,244/19,159.50
  6. Step 6: Final answer
    x = 52,322.99

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.