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Finding the Third Proportional to 23,575 and 33,418

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Solution

The third proportional to 23,575 and 33,418 is: 47,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,575 : 33,418 = 33,418 : x
  2. Step 2: Convert to fraction form
    23,575/33,418 = 33,418/x
  3. Step 3: Cross multiply
    23,575x = 33,418 × 33,418
  4. Step 4: Simplify right side
    23,575x = 1,116,762,724
  5. Step 5: Solve for x
    x = 1,116,762,724/23,575
  6. Step 6: Final answer
    x = 47,370.64

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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.