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Finding the Third Proportional to 33,486 and 70,417.50

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Solution

The third proportional to 33,486 and 70,417.50 is: 148,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,486 : 70,417.50 = 70,417.50 : x
  2. Step 2: Convert to fraction form
    33,486/70,417.50 = 70,417.50/x
  3. Step 3: Cross multiply
    33,486x = 70,417.50 × 70,417.50
  4. Step 4: Simplify right side
    33,486x = 4,958,624,306.25
  5. Step 5: Solve for x
    x = 4,958,624,306.25/33,486
  6. Step 6: Final answer
    x = 148,080.52

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