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Finding the Third Proportional to 12,032.50 and 18,595.25

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Solution

The third proportional to 12,032.50 and 18,595.25 is: 28,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.50 : 18,595.25 = 18,595.25 : x
  2. Step 2: Convert to fraction form
    12,032.50/18,595.25 = 18,595.25/x
  3. Step 3: Cross multiply
    12,032.50x = 18,595.25 × 18,595.25
  4. Step 4: Simplify right side
    12,032.50x = 345,783,322.56
  5. Step 5: Solve for x
    x = 345,783,322.56/12,032.50
  6. Step 6: Final answer
    x = 28,737.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.