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Finding the Third Proportional to 39,984 and 83,752

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Solution

The third proportional to 39,984 and 83,752 is: 175,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,984 : 83,752 = 83,752 : x
  2. Step 2: Convert to fraction form
    39,984/83,752 = 83,752/x
  3. Step 3: Cross multiply
    39,984x = 83,752 × 83,752
  4. Step 4: Simplify right side
    39,984x = 7,014,397,504
  5. Step 5: Solve for x
    x = 7,014,397,504/39,984
  6. Step 6: Final answer
    x = 175,430.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.