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Finding the Third Proportional to 30,570.75 and 63,105.75

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Solution

The third proportional to 30,570.75 and 63,105.75 is: 130,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.75 : 63,105.75 = 63,105.75 : x
  2. Step 2: Convert to fraction form
    30,570.75/63,105.75 = 63,105.75/x
  3. Step 3: Cross multiply
    30,570.75x = 63,105.75 × 63,105.75
  4. Step 4: Simplify right side
    30,570.75x = 3,982,335,683.06
  5. Step 5: Solve for x
    x = 3,982,335,683.06/30,570.75
  6. Step 6: Final answer
    x = 130,266.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.