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Finding the Third Proportional to 14,948 and 32,811

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Solution

The third proportional to 14,948 and 32,811 is: 72,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948 : 32,811 = 32,811 : x
  2. Step 2: Convert to fraction form
    14,948/32,811 = 32,811/x
  3. Step 3: Cross multiply
    14,948x = 32,811 × 32,811
  4. Step 4: Simplify right side
    14,948x = 1,076,561,721
  5. Step 5: Solve for x
    x = 1,076,561,721/14,948
  6. Step 6: Final answer
    x = 72,020.45

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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.