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Finding the Third Proportional to 29,796 and 65,480

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Solution

The third proportional to 29,796 and 65,480 is: 143,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,796 : 65,480 = 65,480 : x
  2. Step 2: Convert to fraction form
    29,796/65,480 = 65,480/x
  3. Step 3: Cross multiply
    29,796x = 65,480 × 65,480
  4. Step 4: Simplify right side
    29,796x = 4,287,630,400
  5. Step 5: Solve for x
    x = 4,287,630,400/29,796
  6. Step 6: Final answer
    x = 143,899.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.