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Finding the Third Proportional to 39,596 and 83,032

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Solution

The third proportional to 39,596 and 83,032 is: 174,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,596 : 83,032 = 83,032 : x
  2. Step 2: Convert to fraction form
    39,596/83,032 = 83,032/x
  3. Step 3: Cross multiply
    39,596x = 83,032 × 83,032
  4. Step 4: Simplify right side
    39,596x = 6,894,313,024
  5. Step 5: Solve for x
    x = 6,894,313,024/39,596
  6. Step 6: Final answer
    x = 174,116.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.