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Finding the Third Proportional to 14,954 and 32,816

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Solution

The third proportional to 14,954 and 32,816 is: 72,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954 : 32,816 = 32,816 : x
  2. Step 2: Convert to fraction form
    14,954/32,816 = 32,816/x
  3. Step 3: Cross multiply
    14,954x = 32,816 × 32,816
  4. Step 4: Simplify right side
    14,954x = 1,076,889,856
  5. Step 5: Solve for x
    x = 1,076,889,856/14,954
  6. Step 6: Final answer
    x = 72,013.50

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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.