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Finding the Third Proportional to 16,269.37 and 24,577.41

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Solution

The third proportional to 16,269.37 and 24,577.41 is: 37,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,269.37 : 24,577.41 = 24,577.41 : x
  2. Step 2: Convert to fraction form
    16,269.37/24,577.41 = 24,577.41/x
  3. Step 3: Cross multiply
    16,269.37x = 24,577.41 × 24,577.41
  4. Step 4: Simplify right side
    16,269.37x = 604,049,041.99
  5. Step 5: Solve for x
    x = 604,049,041.99/16,269.37
  6. Step 6: Final answer
    x = 37,127.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.