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Finding the Third Proportional to 32,901 and 44,977.50

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Solution

The third proportional to 32,901 and 44,977.50 is: 61,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901 : 44,977.50 = 44,977.50 : x
  2. Step 2: Convert to fraction form
    32,901/44,977.50 = 44,977.50/x
  3. Step 3: Cross multiply
    32,901x = 44,977.50 × 44,977.50
  4. Step 4: Simplify right side
    32,901x = 2,022,975,506.25
  5. Step 5: Solve for x
    x = 2,022,975,506.25/32,901
  6. Step 6: Final answer
    x = 61,486.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.