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Finding the Third Proportional to 25,116 and 49,611

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Solution

The third proportional to 25,116 and 49,611 is: 97,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,116 : 49,611 = 49,611 : x
  2. Step 2: Convert to fraction form
    25,116/49,611 = 49,611/x
  3. Step 3: Cross multiply
    25,116x = 49,611 × 49,611
  4. Step 4: Simplify right side
    25,116x = 2,461,251,321
  5. Step 5: Solve for x
    x = 2,461,251,321/25,116
  6. Step 6: Final answer
    x = 97,995.35

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.