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Finding the Third Proportional to 35,980 and 56,316

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Solution

The third proportional to 35,980 and 56,316 is: 88,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980 : 56,316 = 56,316 : x
  2. Step 2: Convert to fraction form
    35,980/56,316 = 56,316/x
  3. Step 3: Cross multiply
    35,980x = 56,316 × 56,316
  4. Step 4: Simplify right side
    35,980x = 3,171,491,856
  5. Step 5: Solve for x
    x = 3,171,491,856/35,980
  6. Step 6: Final answer
    x = 88,145.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.