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Finding the Third Proportional to 30,057 and 42,954

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Solution

The third proportional to 30,057 and 42,954 is: 61,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057 : 42,954 = 42,954 : x
  2. Step 2: Convert to fraction form
    30,057/42,954 = 42,954/x
  3. Step 3: Cross multiply
    30,057x = 42,954 × 42,954
  4. Step 4: Simplify right side
    30,057x = 1,845,046,116
  5. Step 5: Solve for x
    x = 1,845,046,116/30,057
  6. Step 6: Final answer
    x = 61,384.91

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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.