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Finding the Third Proportional to 5,782.50 and 8,592.19

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Solution

The third proportional to 5,782.50 and 8,592.19 is: 12,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.50 : 8,592.19 = 8,592.19 : x
  2. Step 2: Convert to fraction form
    5,782.50/8,592.19 = 8,592.19/x
  3. Step 3: Cross multiply
    5,782.50x = 8,592.19 × 8,592.19
  4. Step 4: Simplify right side
    5,782.50x = 73,825,686.04
  5. Step 5: Solve for x
    x = 73,825,686.04/5,782.50
  6. Step 6: Final answer
    x = 12,767.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.