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Finding the Third Proportional to 13,830.75 and 30,192.75

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Solution

The third proportional to 13,830.75 and 30,192.75 is: 65,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.75 : 30,192.75 = 30,192.75 : x
  2. Step 2: Convert to fraction form
    13,830.75/30,192.75 = 30,192.75/x
  3. Step 3: Cross multiply
    13,830.75x = 30,192.75 × 30,192.75
  4. Step 4: Simplify right side
    13,830.75x = 911,602,152.56
  5. Step 5: Solve for x
    x = 911,602,152.56/13,830.75
  6. Step 6: Final answer
    x = 65,911.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.