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Finding the Third Proportional to 25,456 and 55,432

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Solution

The third proportional to 25,456 and 55,432 is: 120,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,456 : 55,432 = 55,432 : x
  2. Step 2: Convert to fraction form
    25,456/55,432 = 55,432/x
  3. Step 3: Cross multiply
    25,456x = 55,432 × 55,432
  4. Step 4: Simplify right side
    25,456x = 3,072,706,624
  5. Step 5: Solve for x
    x = 3,072,706,624/25,456
  6. Step 6: Final answer
    x = 120,706.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.