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Finding the Third Proportional to 30,632 and 62,559

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Solution

The third proportional to 30,632 and 62,559 is: 127,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,632 : 62,559 = 62,559 : x
  2. Step 2: Convert to fraction form
    30,632/62,559 = 62,559/x
  3. Step 3: Cross multiply
    30,632x = 62,559 × 62,559
  4. Step 4: Simplify right side
    30,632x = 3,913,628,481
  5. Step 5: Solve for x
    x = 3,913,628,481/30,632
  6. Step 6: Final answer
    x = 127,762.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.