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Finding the Third Proportional to 38,256.75 and 83,289.75

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Solution

The third proportional to 38,256.75 and 83,289.75 is: 181,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,256.75 : 83,289.75 = 83,289.75 : x
  2. Step 2: Convert to fraction form
    38,256.75/83,289.75 = 83,289.75/x
  3. Step 3: Cross multiply
    38,256.75x = 83,289.75 × 83,289.75
  4. Step 4: Simplify right side
    38,256.75x = 6,937,182,455.06
  5. Step 5: Solve for x
    x = 6,937,182,455.06/38,256.75
  6. Step 6: Final answer
    x = 181,332.25

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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.