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Finding the Third Proportional to 14,690.81 and 32,297.63

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Solution

The third proportional to 14,690.81 and 32,297.63 is: 71,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690.81 : 32,297.63 = 32,297.63 : x
  2. Step 2: Convert to fraction form
    14,690.81/32,297.63 = 32,297.63/x
  3. Step 3: Cross multiply
    14,690.81x = 32,297.63 × 32,297.63
  4. Step 4: Simplify right side
    14,690.81x = 1,043,136,580.64
  5. Step 5: Solve for x
    x = 1,043,136,580.64/14,690.81
  6. Step 6: Final answer
    x = 71,006.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.