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Finding the Third Proportional to 2,673.95 and 5,851.93

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Solution

The third proportional to 2,673.95 and 5,851.93 is: 12,806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.95 : 5,851.93 = 5,851.93 : x
  2. Step 2: Convert to fraction form
    2,673.95/5,851.93 = 5,851.93/x
  3. Step 3: Cross multiply
    2,673.95x = 5,851.93 × 5,851.93
  4. Step 4: Simplify right side
    2,673.95x = 34,245,126.79
  5. Step 5: Solve for x
    x = 34,245,126.79/2,673.95
  6. Step 6: Final answer
    x = 12,806.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.