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Finding the Third Proportional to 30,626 and 63,220

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Solution

The third proportional to 30,626 and 63,220 is: 130,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,626 : 63,220 = 63,220 : x
  2. Step 2: Convert to fraction form
    30,626/63,220 = 63,220/x
  3. Step 3: Cross multiply
    30,626x = 63,220 × 63,220
  4. Step 4: Simplify right side
    30,626x = 3,996,768,400
  5. Step 5: Solve for x
    x = 3,996,768,400/30,626
  6. Step 6: Final answer
    x = 130,502.46

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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.