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Finding the Third Proportional to 35,651.39 and 77,460.05

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Solution

The third proportional to 35,651.39 and 77,460.05 is: 168,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,651.39 : 77,460.05 = 77,460.05 : x
  2. Step 2: Convert to fraction form
    35,651.39/77,460.05 = 77,460.05/x
  3. Step 3: Cross multiply
    35,651.39x = 77,460.05 × 77,460.05
  4. Step 4: Simplify right side
    35,651.39x = 6,000,058,861.88
  5. Step 5: Solve for x
    x = 6,000,058,861.88/35,651.39
  6. Step 6: Final answer
    x = 168,298.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.