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Finding the Third Proportional to 5,938.31 and 8,931.52

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Solution

The third proportional to 5,938.31 and 8,931.52 is: 13,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.31 : 8,931.52 = 8,931.52 : x
  2. Step 2: Convert to fraction form
    5,938.31/8,931.52 = 8,931.52/x
  3. Step 3: Cross multiply
    5,938.31x = 8,931.52 × 8,931.52
  4. Step 4: Simplify right side
    5,938.31x = 79,771,971.36
  5. Step 5: Solve for x
    x = 79,771,971.36/5,938.31
  6. Step 6: Final answer
    x = 13,433.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.