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Finding the Third Proportional to 33,313 and 70,941.50

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Solution

The third proportional to 33,313 and 70,941.50 is: 151,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,313 : 70,941.50 = 70,941.50 : x
  2. Step 2: Convert to fraction form
    33,313/70,941.50 = 70,941.50/x
  3. Step 3: Cross multiply
    33,313x = 70,941.50 × 70,941.50
  4. Step 4: Simplify right side
    33,313x = 5,032,696,422.25
  5. Step 5: Solve for x
    x = 5,032,696,422.25/33,313
  6. Step 6: Final answer
    x = 151,073.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.