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Finding the Third Proportional to 23,492 and 55,458

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Solution

The third proportional to 23,492 and 55,458 is: 130,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,492 : 55,458 = 55,458 : x
  2. Step 2: Convert to fraction form
    23,492/55,458 = 55,458/x
  3. Step 3: Cross multiply
    23,492x = 55,458 × 55,458
  4. Step 4: Simplify right side
    23,492x = 3,075,589,764
  5. Step 5: Solve for x
    x = 3,075,589,764/23,492
  6. Step 6: Final answer
    x = 130,920.73

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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.