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Finding the Third Proportional to 1,745.02 and 3,803.76

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Solution

The third proportional to 1,745.02 and 3,803.76 is: 8,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.02 : 3,803.76 = 3,803.76 : x
  2. Step 2: Convert to fraction form
    1,745.02/3,803.76 = 3,803.76/x
  3. Step 3: Cross multiply
    1,745.02x = 3,803.76 × 3,803.76
  4. Step 4: Simplify right side
    1,745.02x = 14,468,566.07
  5. Step 5: Solve for x
    x = 14,468,566.07/1,745.02
  6. Step 6: Final answer
    x = 8,291.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.