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Finding the Third Proportional to 32,224 and 74,748

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Solution

The third proportional to 32,224 and 74,748 is: 173,388.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,224 : 74,748 = 74,748 : x
  2. Step 2: Convert to fraction form
    32,224/74,748 = 74,748/x
  3. Step 3: Cross multiply
    32,224x = 74,748 × 74,748
  4. Step 4: Simplify right side
    32,224x = 5,587,263,504
  5. Step 5: Solve for x
    x = 5,587,263,504/32,224
  6. Step 6: Final answer
    x = 173,388.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.