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Finding the Third Proportional to 32,980 and 53,178

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Solution

The third proportional to 32,980 and 53,178 is: 85,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980 : 53,178 = 53,178 : x
  2. Step 2: Convert to fraction form
    32,980/53,178 = 53,178/x
  3. Step 3: Cross multiply
    32,980x = 53,178 × 53,178
  4. Step 4: Simplify right side
    32,980x = 2,827,899,684
  5. Step 5: Solve for x
    x = 2,827,899,684/32,980
  6. Step 6: Final answer
    x = 85,745.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.