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Finding the Third Proportional to 30,745 and 72,549

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Solution

The third proportional to 30,745 and 72,549 is: 171,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745 : 72,549 = 72,549 : x
  2. Step 2: Convert to fraction form
    30,745/72,549 = 72,549/x
  3. Step 3: Cross multiply
    30,745x = 72,549 × 72,549
  4. Step 4: Simplify right side
    30,745x = 5,263,357,401
  5. Step 5: Solve for x
    x = 5,263,357,401/30,745
  6. Step 6: Final answer
    x = 171,193.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.