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Finding the Third Proportional to 1,755.75 and 4,064.63

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Solution

The third proportional to 1,755.75 and 4,064.63 is: 9,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.75 : 4,064.63 = 4,064.63 : x
  2. Step 2: Convert to fraction form
    1,755.75/4,064.63 = 4,064.63/x
  3. Step 3: Cross multiply
    1,755.75x = 4,064.63 × 4,064.63
  4. Step 4: Simplify right side
    1,755.75x = 16,521,176.39
  5. Step 5: Solve for x
    x = 16,521,176.39/1,755.75
  6. Step 6: Final answer
    x = 9,409.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.