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Finding the Third Proportional to 39,030 and 84,208

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Solution

The third proportional to 39,030 and 84,208 is: 181,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,030 : 84,208 = 84,208 : x
  2. Step 2: Convert to fraction form
    39,030/84,208 = 84,208/x
  3. Step 3: Cross multiply
    39,030x = 84,208 × 84,208
  4. Step 4: Simplify right side
    39,030x = 7,090,987,264
  5. Step 5: Solve for x
    x = 7,090,987,264/39,030
  6. Step 6: Final answer
    x = 181,680.43

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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.