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Finding the Third Proportional to 1,307.07 and 2,024.68

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Solution

The third proportional to 1,307.07 and 2,024.68 is: 3,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.07 : 2,024.68 = 2,024.68 : x
  2. Step 2: Convert to fraction form
    1,307.07/2,024.68 = 2,024.68/x
  3. Step 3: Cross multiply
    1,307.07x = 2,024.68 × 2,024.68
  4. Step 4: Simplify right side
    1,307.07x = 4,099,343.65
  5. Step 5: Solve for x
    x = 4,099,343.65/1,307.07
  6. Step 6: Final answer
    x = 3,136.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.