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Finding the Third Proportional to 26,825.63 and 42,467.63

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Solution

The third proportional to 26,825.63 and 42,467.63 is: 67,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,825.63 : 42,467.63 = 42,467.63 : x
  2. Step 2: Convert to fraction form
    26,825.63/42,467.63 = 42,467.63/x
  3. Step 3: Cross multiply
    26,825.63x = 42,467.63 × 42,467.63
  4. Step 4: Simplify right side
    26,825.63x = 1,803,499,173.14
  5. Step 5: Solve for x
    x = 1,803,499,173.14/26,825.63
  6. Step 6: Final answer
    x = 67,230.46

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.