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Finding the Third Proportional to 39,048.75 and 83,004.75

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Solution

The third proportional to 39,048.75 and 83,004.75 is: 176,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,048.75 : 83,004.75 = 83,004.75 : x
  2. Step 2: Convert to fraction form
    39,048.75/83,004.75 = 83,004.75/x
  3. Step 3: Cross multiply
    39,048.75x = 83,004.75 × 83,004.75
  4. Step 4: Simplify right side
    39,048.75x = 6,889,788,522.56
  5. Step 5: Solve for x
    x = 6,889,788,522.56/39,048.75
  6. Step 6: Final answer
    x = 176,440.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.