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Finding the Third Proportional to 1,647.84 and 2,393.93

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Solution

The third proportional to 1,647.84 and 2,393.93 is: 3,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.84 : 2,393.93 = 2,393.93 : x
  2. Step 2: Convert to fraction form
    1,647.84/2,393.93 = 2,393.93/x
  3. Step 3: Cross multiply
    1,647.84x = 2,393.93 × 2,393.93
  4. Step 4: Simplify right side
    1,647.84x = 5,730,899.35
  5. Step 5: Solve for x
    x = 5,730,899.35/1,647.84
  6. Step 6: Final answer
    x = 3,477.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.