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Finding the Third Proportional to 25,084 and 59,410

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Solution

The third proportional to 25,084 and 59,410 is: 140,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,084 : 59,410 = 59,410 : x
  2. Step 2: Convert to fraction form
    25,084/59,410 = 59,410/x
  3. Step 3: Cross multiply
    25,084x = 59,410 × 59,410
  4. Step 4: Simplify right side
    25,084x = 3,529,548,100
  5. Step 5: Solve for x
    x = 3,529,548,100/25,084
  6. Step 6: Final answer
    x = 140,709.14

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.