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Finding the Third Proportional to 860.75 and 1,884.13

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Solution

The third proportional to 860.75 and 1,884.13 is: 4,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.75 : 1,884.13 = 1,884.13 : x
  2. Step 2: Convert to fraction form
    860.75/1,884.13 = 1,884.13/x
  3. Step 3: Cross multiply
    860.75x = 1,884.13 × 1,884.13
  4. Step 4: Simplify right side
    860.75x = 3,549,927.02
  5. Step 5: Solve for x
    x = 3,549,927.02/860.75
  6. Step 6: Final answer
    x = 4,124.23

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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.