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Finding the Third Proportional to 30,230 and 45,371

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Solution

The third proportional to 30,230 and 45,371 is: 68,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230 : 45,371 = 45,371 : x
  2. Step 2: Convert to fraction form
    30,230/45,371 = 45,371/x
  3. Step 3: Cross multiply
    30,230x = 45,371 × 45,371
  4. Step 4: Simplify right side
    30,230x = 2,058,527,641
  5. Step 5: Solve for x
    x = 2,058,527,641/30,230
  6. Step 6: Final answer
    x = 68,095.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.