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Finding the Third Proportional to 15,297.50 and 32,433.50

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Solution

The third proportional to 15,297.50 and 32,433.50 is: 68,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.50 : 32,433.50 = 32,433.50 : x
  2. Step 2: Convert to fraction form
    15,297.50/32,433.50 = 32,433.50/x
  3. Step 3: Cross multiply
    15,297.50x = 32,433.50 × 32,433.50
  4. Step 4: Simplify right side
    15,297.50x = 1,051,931,922.25
  5. Step 5: Solve for x
    x = 1,051,931,922.25/15,297.50
  6. Step 6: Final answer
    x = 68,764.96

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.