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Finding the Third Proportional to 25,310 and 50,590

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Solution

The third proportional to 25,310 and 50,590 is: 101,120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,310 : 50,590 = 50,590 : x
  2. Step 2: Convert to fraction form
    25,310/50,590 = 50,590/x
  3. Step 3: Cross multiply
    25,310x = 50,590 × 50,590
  4. Step 4: Simplify right side
    25,310x = 2,559,348,100
  5. Step 5: Solve for x
    x = 2,559,348,100/25,310
  6. Step 6: Final answer
    x = 101,120.04

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.