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Finding the Third Proportional to 930.75 and 1,972.50

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Solution

The third proportional to 930.75 and 1,972.50 is: 4,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.75 : 1,972.50 = 1,972.50 : x
  2. Step 2: Convert to fraction form
    930.75/1,972.50 = 1,972.50/x
  3. Step 3: Cross multiply
    930.75x = 1,972.50 × 1,972.50
  4. Step 4: Simplify right side
    930.75x = 3,890,756.25
  5. Step 5: Solve for x
    x = 3,890,756.25/930.75
  6. Step 6: Final answer
    x = 4,180.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.