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Finding the Third Proportional to 2,069 and 2,927.50

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Solution

The third proportional to 2,069 and 2,927.50 is: 4,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069 : 2,927.50 = 2,927.50 : x
  2. Step 2: Convert to fraction form
    2,069/2,927.50 = 2,927.50/x
  3. Step 3: Cross multiply
    2,069x = 2,927.50 × 2,927.50
  4. Step 4: Simplify right side
    2,069x = 8,570,256.25
  5. Step 5: Solve for x
    x = 8,570,256.25/2,069
  6. Step 6: Final answer
    x = 4,142.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.