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Finding the Third Proportional to 30,813 and 44,032

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Solution

The third proportional to 30,813 and 44,032 is: 62,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813 : 44,032 = 44,032 : x
  2. Step 2: Convert to fraction form
    30,813/44,032 = 44,032/x
  3. Step 3: Cross multiply
    30,813x = 44,032 × 44,032
  4. Step 4: Simplify right side
    30,813x = 1,938,817,024
  5. Step 5: Solve for x
    x = 1,938,817,024/30,813
  6. Step 6: Final answer
    x = 62,922.05

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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.