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Finding the Third Proportional to 14,641 and 32,197

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Solution

The third proportional to 14,641 and 32,197 is: 70,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641 : 32,197 = 32,197 : x
  2. Step 2: Convert to fraction form
    14,641/32,197 = 32,197/x
  3. Step 3: Cross multiply
    14,641x = 32,197 × 32,197
  4. Step 4: Simplify right side
    14,641x = 1,036,646,809
  5. Step 5: Solve for x
    x = 1,036,646,809/14,641
  6. Step 6: Final answer
    x = 70,804.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.