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Finding the Third Proportional to 17,886.50 and 35,322.50

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Solution

The third proportional to 17,886.50 and 35,322.50 is: 69,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.50 : 35,322.50 = 35,322.50 : x
  2. Step 2: Convert to fraction form
    17,886.50/35,322.50 = 35,322.50/x
  3. Step 3: Cross multiply
    17,886.50x = 35,322.50 × 35,322.50
  4. Step 4: Simplify right side
    17,886.50x = 1,247,679,006.25
  5. Step 5: Solve for x
    x = 1,247,679,006.25/17,886.50
  6. Step 6: Final answer
    x = 69,755.35

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.