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Finding the Third Proportional to 36,293.25 and 57,032.25

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Solution

The third proportional to 36,293.25 and 57,032.25 is: 89,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,293.25 : 57,032.25 = 57,032.25 : x
  2. Step 2: Convert to fraction form
    36,293.25/57,032.25 = 57,032.25/x
  3. Step 3: Cross multiply
    36,293.25x = 57,032.25 × 57,032.25
  4. Step 4: Simplify right side
    36,293.25x = 3,252,677,540.06
  5. Step 5: Solve for x
    x = 3,252,677,540.06/36,293.25
  6. Step 6: Final answer
    x = 89,622.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.