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Finding the Third Proportional to 5,668.75 and 12,012.50

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Solution

The third proportional to 5,668.75 and 12,012.50 is: 25,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.75 : 12,012.50 = 12,012.50 : x
  2. Step 2: Convert to fraction form
    5,668.75/12,012.50 = 12,012.50/x
  3. Step 3: Cross multiply
    5,668.75x = 12,012.50 × 12,012.50
  4. Step 4: Simplify right side
    5,668.75x = 144,300,156.25
  5. Step 5: Solve for x
    x = 144,300,156.25/5,668.75
  6. Step 6: Final answer
    x = 25,455.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.