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Finding the Third Proportional to 25,099 and 36,955

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Solution

The third proportional to 25,099 and 36,955 is: 54,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,099 : 36,955 = 36,955 : x
  2. Step 2: Convert to fraction form
    25,099/36,955 = 36,955/x
  3. Step 3: Cross multiply
    25,099x = 36,955 × 36,955
  4. Step 4: Simplify right side
    25,099x = 1,365,672,025
  5. Step 5: Solve for x
    x = 1,365,672,025/25,099
  6. Step 6: Final answer
    x = 54,411.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.