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Finding the Third Proportional to 42,690.38 and 64,173.38

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Solution

The third proportional to 42,690.38 and 64,173.38 is: 96,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,690.38 : 64,173.38 = 64,173.38 : x
  2. Step 2: Convert to fraction form
    42,690.38/64,173.38 = 64,173.38/x
  3. Step 3: Cross multiply
    42,690.38x = 64,173.38 × 64,173.38
  4. Step 4: Simplify right side
    42,690.38x = 4,118,222,058.89
  5. Step 5: Solve for x
    x = 4,118,222,058.89/42,690.38
  6. Step 6: Final answer
    x = 96,467.23

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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.