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Finding the Third Proportional to 30,444 and 64,632

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Solution

The third proportional to 30,444 and 64,632 is: 137,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,444 : 64,632 = 64,632 : x
  2. Step 2: Convert to fraction form
    30,444/64,632 = 64,632/x
  3. Step 3: Cross multiply
    30,444x = 64,632 × 64,632
  4. Step 4: Simplify right side
    30,444x = 4,177,295,424
  5. Step 5: Solve for x
    x = 4,177,295,424/30,444
  6. Step 6: Final answer
    x = 137,212.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.