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Finding the Third Proportional to 25,345 and 53,968

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Solution

The third proportional to 25,345 and 53,968 is: 114,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,345 : 53,968 = 53,968 : x
  2. Step 2: Convert to fraction form
    25,345/53,968 = 53,968/x
  3. Step 3: Cross multiply
    25,345x = 53,968 × 53,968
  4. Step 4: Simplify right side
    25,345x = 2,912,545,024
  5. Step 5: Solve for x
    x = 2,912,545,024/25,345
  6. Step 6: Final answer
    x = 114,915.96

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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.