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Finding the Third Proportional to 39,119.63 and 84,475.69

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Solution

The third proportional to 39,119.63 and 84,475.69 is: 182,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,119.63 : 84,475.69 = 84,475.69 : x
  2. Step 2: Convert to fraction form
    39,119.63/84,475.69 = 84,475.69/x
  3. Step 3: Cross multiply
    39,119.63x = 84,475.69 × 84,475.69
  4. Step 4: Simplify right side
    39,119.63x = 7,136,141,778.60
  5. Step 5: Solve for x
    x = 7,136,141,778.60/39,119.63
  6. Step 6: Final answer
    x = 182,418.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.