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Finding the Third Proportional to 30,202 and 45,636

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Solution

The third proportional to 30,202 and 45,636 is: 68,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202 : 45,636 = 45,636 : x
  2. Step 2: Convert to fraction form
    30,202/45,636 = 45,636/x
  3. Step 3: Cross multiply
    30,202x = 45,636 × 45,636
  4. Step 4: Simplify right side
    30,202x = 2,082,644,496
  5. Step 5: Solve for x
    x = 2,082,644,496/30,202
  6. Step 6: Final answer
    x = 68,957.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.