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Finding the Third Proportional to 33,492.75 and 66,985.13

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Solution

The third proportional to 33,492.75 and 66,985.13 is: 133,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,492.75 : 66,985.13 = 66,985.13 : x
  2. Step 2: Convert to fraction form
    33,492.75/66,985.13 = 66,985.13/x
  3. Step 3: Cross multiply
    33,492.75x = 66,985.13 × 66,985.13
  4. Step 4: Simplify right side
    33,492.75x = 4,487,006,971.27
  5. Step 5: Solve for x
    x = 4,487,006,971.27/33,492.75
  6. Step 6: Final answer
    x = 133,969.50

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.