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Finding the Third Proportional to 30,057.75 and 33,459.75

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Solution

The third proportional to 30,057.75 and 33,459.75 is: 37,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057.75 : 33,459.75 = 33,459.75 : x
  2. Step 2: Convert to fraction form
    30,057.75/33,459.75 = 33,459.75/x
  3. Step 3: Cross multiply
    30,057.75x = 33,459.75 × 33,459.75
  4. Step 4: Simplify right side
    30,057.75x = 1,119,554,870.06
  5. Step 5: Solve for x
    x = 1,119,554,870.06/30,057.75
  6. Step 6: Final answer
    x = 37,246.80

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.