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Finding the Third Proportional to 22,965 and 32,505

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Solution

The third proportional to 22,965 and 32,505 is: 46,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965 : 32,505 = 32,505 : x
  2. Step 2: Convert to fraction form
    22,965/32,505 = 32,505/x
  3. Step 3: Cross multiply
    22,965x = 32,505 × 32,505
  4. Step 4: Simplify right side
    22,965x = 1,056,575,025
  5. Step 5: Solve for x
    x = 1,056,575,025/22,965
  6. Step 6: Final answer
    x = 46,008.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.