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Finding the Third Proportional to 23,583 and 32,046

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Solution

The third proportional to 23,583 and 32,046 is: 43,546.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,583 : 32,046 = 32,046 : x
  2. Step 2: Convert to fraction form
    23,583/32,046 = 32,046/x
  3. Step 3: Cross multiply
    23,583x = 32,046 × 32,046
  4. Step 4: Simplify right side
    23,583x = 1,026,946,116
  5. Step 5: Solve for x
    x = 1,026,946,116/23,583
  6. Step 6: Final answer
    x = 43,546.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.