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Finding the Third Proportional to 30,072 and 42,745

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Solution

The third proportional to 30,072 and 42,745 is: 60,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,072 : 42,745 = 42,745 : x
  2. Step 2: Convert to fraction form
    30,072/42,745 = 42,745/x
  3. Step 3: Cross multiply
    30,072x = 42,745 × 42,745
  4. Step 4: Simplify right side
    30,072x = 1,827,135,025
  5. Step 5: Solve for x
    x = 1,827,135,025/30,072
  6. Step 6: Final answer
    x = 60,758.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.