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Finding the Third Proportional to 10,651.50 and 16,475.63

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Solution

The third proportional to 10,651.50 and 16,475.63 is: 25,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.50 : 16,475.63 = 16,475.63 : x
  2. Step 2: Convert to fraction form
    10,651.50/16,475.63 = 16,475.63/x
  3. Step 3: Cross multiply
    10,651.50x = 16,475.63 × 16,475.63
  4. Step 4: Simplify right side
    10,651.50x = 271,446,219.14
  5. Step 5: Solve for x
    x = 271,446,219.14/10,651.50
  6. Step 6: Final answer
    x = 25,484.32

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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.