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Finding the Third Proportional to 32,977.50 and 73,338

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Solution

The third proportional to 32,977.50 and 73,338 is: 163,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977.50 : 73,338 = 73,338 : x
  2. Step 2: Convert to fraction form
    32,977.50/73,338 = 73,338/x
  3. Step 3: Cross multiply
    32,977.50x = 73,338 × 73,338
  4. Step 4: Simplify right side
    32,977.50x = 5,378,462,244
  5. Step 5: Solve for x
    x = 5,378,462,244/32,977.50
  6. Step 6: Final answer
    x = 163,094.91

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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.