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Finding the Third Proportional to 933.31 and 1,372.94

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Solution

The third proportional to 933.31 and 1,372.94 is: 2,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.31 : 1,372.94 = 1,372.94 : x
  2. Step 2: Convert to fraction form
    933.31/1,372.94 = 1,372.94/x
  3. Step 3: Cross multiply
    933.31x = 1,372.94 × 1,372.94
  4. Step 4: Simplify right side
    933.31x = 1,884,957.38
  5. Step 5: Solve for x
    x = 1,884,957.38/933.31
  6. Step 6: Final answer
    x = 2,019.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.