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Finding the Third Proportional to 24,188 and 32,546

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Solution

The third proportional to 24,188 and 32,546 is: 43,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188 : 32,546 = 32,546 : x
  2. Step 2: Convert to fraction form
    24,188/32,546 = 32,546/x
  3. Step 3: Cross multiply
    24,188x = 32,546 × 32,546
  4. Step 4: Simplify right side
    24,188x = 1,059,242,116
  5. Step 5: Solve for x
    x = 1,059,242,116/24,188
  6. Step 6: Final answer
    x = 43,792.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.