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Finding the Third Proportional to 30,522 and 45,752

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Solution

The third proportional to 30,522 and 45,752 is: 68,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522 : 45,752 = 45,752 : x
  2. Step 2: Convert to fraction form
    30,522/45,752 = 45,752/x
  3. Step 3: Cross multiply
    30,522x = 45,752 × 45,752
  4. Step 4: Simplify right side
    30,522x = 2,093,245,504
  5. Step 5: Solve for x
    x = 2,093,245,504/30,522
  6. Step 6: Final answer
    x = 68,581.53

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