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Finding the Third Proportional to 15,511.50 and 24,977.25

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Solution

The third proportional to 15,511.50 and 24,977.25 is: 40,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,511.50 : 24,977.25 = 24,977.25 : x
  2. Step 2: Convert to fraction form
    15,511.50/24,977.25 = 24,977.25/x
  3. Step 3: Cross multiply
    15,511.50x = 24,977.25 × 24,977.25
  4. Step 4: Simplify right side
    15,511.50x = 623,863,017.56
  5. Step 5: Solve for x
    x = 623,863,017.56/15,511.50
  6. Step 6: Final answer
    x = 40,219.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.