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Finding the Third Proportional to 30,203.25 and 65,597.25

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Solution

The third proportional to 30,203.25 and 65,597.25 is: 142,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,203.25 : 65,597.25 = 65,597.25 : x
  2. Step 2: Convert to fraction form
    30,203.25/65,597.25 = 65,597.25/x
  3. Step 3: Cross multiply
    30,203.25x = 65,597.25 × 65,597.25
  4. Step 4: Simplify right side
    30,203.25x = 4,302,999,207.56
  5. Step 5: Solve for x
    x = 4,302,999,207.56/30,203.25
  6. Step 6: Final answer
    x = 142,468.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.