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Finding the Third Proportional to 756.75 and 1,985.63

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Solution

The third proportional to 756.75 and 1,985.63 is: 5,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.75 : 1,985.63 = 1,985.63 : x
  2. Step 2: Convert to fraction form
    756.75/1,985.63 = 1,985.63/x
  3. Step 3: Cross multiply
    756.75x = 1,985.63 × 1,985.63
  4. Step 4: Simplify right side
    756.75x = 3,942,706.64
  5. Step 5: Solve for x
    x = 3,942,706.64/756.75
  6. Step 6: Final answer
    x = 5,210.05

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.