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Finding the Third Proportional to 18,511 and 39,977.50

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Solution

The third proportional to 18,511 and 39,977.50 is: 86,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511 : 39,977.50 = 39,977.50 : x
  2. Step 2: Convert to fraction form
    18,511/39,977.50 = 39,977.50/x
  3. Step 3: Cross multiply
    18,511x = 39,977.50 × 39,977.50
  4. Step 4: Simplify right side
    18,511x = 1,598,200,506.25
  5. Step 5: Solve for x
    x = 1,598,200,506.25/18,511
  6. Step 6: Final answer
    x = 86,337.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.