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Finding the Third Proportional to 14,772 and 32,794

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Solution

The third proportional to 14,772 and 32,794 is: 72,803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772 : 32,794 = 32,794 : x
  2. Step 2: Convert to fraction form
    14,772/32,794 = 32,794/x
  3. Step 3: Cross multiply
    14,772x = 32,794 × 32,794
  4. Step 4: Simplify right side
    14,772x = 1,075,446,436
  5. Step 5: Solve for x
    x = 1,075,446,436/14,772
  6. Step 6: Final answer
    x = 72,803.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.