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Finding the Third Proportional to 850.71 and 2,117.50

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Solution

The third proportional to 850.71 and 2,117.50 is: 5,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.71 : 2,117.50 = 2,117.50 : x
  2. Step 2: Convert to fraction form
    850.71/2,117.50 = 2,117.50/x
  3. Step 3: Cross multiply
    850.71x = 2,117.50 × 2,117.50
  4. Step 4: Simplify right side
    850.71x = 4,483,789.71
  5. Step 5: Solve for x
    x = 4,483,789.71/850.71
  6. Step 6: Final answer
    x = 5,270.64

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.