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Finding the Third Proportional to 772.50 and 1,668.38

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Solution

The third proportional to 772.50 and 1,668.38 is: 3,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.50 : 1,668.38 = 1,668.38 : x
  2. Step 2: Convert to fraction form
    772.50/1,668.38 = 1,668.38/x
  3. Step 3: Cross multiply
    772.50x = 1,668.38 × 1,668.38
  4. Step 4: Simplify right side
    772.50x = 2,783,475.14
  5. Step 5: Solve for x
    x = 2,783,475.14/772.50
  6. Step 6: Final answer
    x = 3,603.20

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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.