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Finding the Third Proportional to 14,660 and 32,168

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Solution

The third proportional to 14,660 and 32,168 is: 70,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660 : 32,168 = 32,168 : x
  2. Step 2: Convert to fraction form
    14,660/32,168 = 32,168/x
  3. Step 3: Cross multiply
    14,660x = 32,168 × 32,168
  4. Step 4: Simplify right side
    14,660x = 1,034,780,224
  5. Step 5: Solve for x
    x = 1,034,780,224/14,660
  6. Step 6: Final answer
    x = 70,585.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.