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Finding the Third Proportional to 30,773 and 44,006

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Solution

The third proportional to 30,773 and 44,006 is: 62,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773 : 44,006 = 44,006 : x
  2. Step 2: Convert to fraction form
    30,773/44,006 = 44,006/x
  3. Step 3: Cross multiply
    30,773x = 44,006 × 44,006
  4. Step 4: Simplify right side
    30,773x = 1,936,528,036
  5. Step 5: Solve for x
    x = 1,936,528,036/30,773
  6. Step 6: Final answer
    x = 62,929.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.