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Finding the Third Proportional to 33,984 and 79,012.50

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Solution

The third proportional to 33,984 and 79,012.50 is: 183,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984 : 79,012.50 = 79,012.50 : x
  2. Step 2: Convert to fraction form
    33,984/79,012.50 = 79,012.50/x
  3. Step 3: Cross multiply
    33,984x = 79,012.50 × 79,012.50
  4. Step 4: Simplify right side
    33,984x = 6,242,975,156.25
  5. Step 5: Solve for x
    x = 6,242,975,156.25/33,984
  6. Step 6: Final answer
    x = 183,703.37

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.