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Finding the Third Proportional to 51,038 and 74,774

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Solution

The third proportional to 51,038 and 74,774 is: 109,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,038 : 74,774 = 74,774 : x
  2. Step 2: Convert to fraction form
    51,038/74,774 = 74,774/x
  3. Step 3: Cross multiply
    51,038x = 74,774 × 74,774
  4. Step 4: Simplify right side
    51,038x = 5,591,151,076
  5. Step 5: Solve for x
    x = 5,591,151,076/51,038
  6. Step 6: Final answer
    x = 109,548.79

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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.