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Finding the Third Proportional to 28,269 and 42,467.63

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Solution

The third proportional to 28,269 and 42,467.63 is: 63,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,269 : 42,467.63 = 42,467.63 : x
  2. Step 2: Convert to fraction form
    28,269/42,467.63 = 42,467.63/x
  3. Step 3: Cross multiply
    28,269x = 42,467.63 × 42,467.63
  4. Step 4: Simplify right side
    28,269x = 1,803,499,173.14
  5. Step 5: Solve for x
    x = 1,803,499,173.14/28,269
  6. Step 6: Final answer
    x = 63,797.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.