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Finding the Third Proportional to 13,065 and 19,573.50

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Solution

The third proportional to 13,065 and 19,573.50 is: 29,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065 : 19,573.50 = 19,573.50 : x
  2. Step 2: Convert to fraction form
    13,065/19,573.50 = 19,573.50/x
  3. Step 3: Cross multiply
    13,065x = 19,573.50 × 19,573.50
  4. Step 4: Simplify right side
    13,065x = 383,121,902.25
  5. Step 5: Solve for x
    x = 383,121,902.25/13,065
  6. Step 6: Final answer
    x = 29,324.29

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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.