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Finding the Third Proportional to 4,779 and 7,087.50

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Solution

The third proportional to 4,779 and 7,087.50 is: 10,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779 : 7,087.50 = 7,087.50 : x
  2. Step 2: Convert to fraction form
    4,779/7,087.50 = 7,087.50/x
  3. Step 3: Cross multiply
    4,779x = 7,087.50 × 7,087.50
  4. Step 4: Simplify right side
    4,779x = 50,232,656.25
  5. Step 5: Solve for x
    x = 50,232,656.25/4,779
  6. Step 6: Final answer
    x = 10,511.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.