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Finding the Third Proportional to 17,509.50 and 26,669.25

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Solution

The third proportional to 17,509.50 and 26,669.25 is: 40,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.50 : 26,669.25 = 26,669.25 : x
  2. Step 2: Convert to fraction form
    17,509.50/26,669.25 = 26,669.25/x
  3. Step 3: Cross multiply
    17,509.50x = 26,669.25 × 26,669.25
  4. Step 4: Simplify right side
    17,509.50x = 711,248,895.56
  5. Step 5: Solve for x
    x = 711,248,895.56/17,509.50
  6. Step 6: Final answer
    x = 40,620.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.