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Finding the Third Proportional to 51,928 and 74,004

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Solution

The third proportional to 51,928 and 74,004 is: 105,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,928 : 74,004 = 74,004 : x
  2. Step 2: Convert to fraction form
    51,928/74,004 = 74,004/x
  3. Step 3: Cross multiply
    51,928x = 74,004 × 74,004
  4. Step 4: Simplify right side
    51,928x = 5,476,592,016
  5. Step 5: Solve for x
    x = 5,476,592,016/51,928
  6. Step 6: Final answer
    x = 105,465.11

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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.