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Finding the Third Proportional to 51,938 and 74,015

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Solution

The third proportional to 51,938 and 74,015 is: 105,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,938 : 74,015 = 74,015 : x
  2. Step 2: Convert to fraction form
    51,938/74,015 = 74,015/x
  3. Step 3: Cross multiply
    51,938x = 74,015 × 74,015
  4. Step 4: Simplify right side
    51,938x = 5,478,220,225
  5. Step 5: Solve for x
    x = 5,478,220,225/51,938
  6. Step 6: Final answer
    x = 105,476.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.