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Finding the Third Proportional to 25,096 and 49,557

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Solution

The third proportional to 25,096 and 49,557 is: 97,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096 : 49,557 = 49,557 : x
  2. Step 2: Convert to fraction form
    25,096/49,557 = 49,557/x
  3. Step 3: Cross multiply
    25,096x = 49,557 × 49,557
  4. Step 4: Simplify right side
    25,096x = 2,455,896,249
  5. Step 5: Solve for x
    x = 2,455,896,249/25,096
  6. Step 6: Final answer
    x = 97,860.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.