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Finding the Third Proportional to 921.25 and 1,931.75

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Solution

The third proportional to 921.25 and 1,931.75 is: 4,050.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.25 : 1,931.75 = 1,931.75 : x
  2. Step 2: Convert to fraction form
    921.25/1,931.75 = 1,931.75/x
  3. Step 3: Cross multiply
    921.25x = 1,931.75 × 1,931.75
  4. Step 4: Simplify right side
    921.25x = 3,731,658.06
  5. Step 5: Solve for x
    x = 3,731,658.06/921.25
  6. Step 6: Final answer
    x = 4,050.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.