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Finding the Third Proportional to 5,233.50 and 7,854.19

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Solution

The third proportional to 5,233.50 and 7,854.19 is: 11,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.50 : 7,854.19 = 7,854.19 : x
  2. Step 2: Convert to fraction form
    5,233.50/7,854.19 = 7,854.19/x
  3. Step 3: Cross multiply
    5,233.50x = 7,854.19 × 7,854.19
  4. Step 4: Simplify right side
    5,233.50x = 61,688,261.29
  5. Step 5: Solve for x
    x = 61,688,261.29/5,233.50
  6. Step 6: Final answer
    x = 11,787.19

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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.