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Finding the Third Proportional to 35,965.90 and 76,653.21

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Solution

The third proportional to 35,965.90 and 76,653.21 is: 163,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965.90 : 76,653.21 = 76,653.21 : x
  2. Step 2: Convert to fraction form
    35,965.90/76,653.21 = 76,653.21/x
  3. Step 3: Cross multiply
    35,965.90x = 76,653.21 × 76,653.21
  4. Step 4: Simplify right side
    35,965.90x = 5,875,714,747.03
  5. Step 5: Solve for x
    x = 5,875,714,747.03/35,965.90
  6. Step 6: Final answer
    x = 163,369.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.