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Finding the Third Proportional to 8,536.50 and 19,586.25

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Solution

The third proportional to 8,536.50 and 19,586.25 is: 44,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.50 : 19,586.25 = 19,586.25 : x
  2. Step 2: Convert to fraction form
    8,536.50/19,586.25 = 19,586.25/x
  3. Step 3: Cross multiply
    8,536.50x = 19,586.25 × 19,586.25
  4. Step 4: Simplify right side
    8,536.50x = 383,621,189.06
  5. Step 5: Solve for x
    x = 383,621,189.06/8,536.50
  6. Step 6: Final answer
    x = 44,938.93

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.