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Finding the Third Proportional to 30,201.75 and 65,594.25

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Solution

The third proportional to 30,201.75 and 65,594.25 is: 142,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.75 : 65,594.25 = 65,594.25 : x
  2. Step 2: Convert to fraction form
    30,201.75/65,594.25 = 65,594.25/x
  3. Step 3: Cross multiply
    30,201.75x = 65,594.25 × 65,594.25
  4. Step 4: Simplify right side
    30,201.75x = 4,302,605,633.06
  5. Step 5: Solve for x
    x = 4,302,605,633.06/30,201.75
  6. Step 6: Final answer
    x = 142,462.13

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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.