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Finding the Third Proportional to 30,452 and 45,554

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Solution

The third proportional to 30,452 and 45,554 is: 68,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452 : 45,554 = 45,554 : x
  2. Step 2: Convert to fraction form
    30,452/45,554 = 45,554/x
  3. Step 3: Cross multiply
    30,452x = 45,554 × 45,554
  4. Step 4: Simplify right side
    30,452x = 2,075,166,916
  5. Step 5: Solve for x
    x = 2,075,166,916/30,452
  6. Step 6: Final answer
    x = 68,145.50

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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.