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Finding the Third Proportional to 25,602 and 54,516

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Solution

The third proportional to 25,602 and 54,516 is: 116,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602 : 54,516 = 54,516 : x
  2. Step 2: Convert to fraction form
    25,602/54,516 = 54,516/x
  3. Step 3: Cross multiply
    25,602x = 54,516 × 54,516
  4. Step 4: Simplify right side
    25,602x = 2,971,994,256
  5. Step 5: Solve for x
    x = 2,971,994,256/25,602
  6. Step 6: Final answer
    x = 116,084.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.