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Finding the Third Proportional to 28,938 and 61,431

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Solution

The third proportional to 28,938 and 61,431 is: 130,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,938 : 61,431 = 61,431 : x
  2. Step 2: Convert to fraction form
    28,938/61,431 = 61,431/x
  3. Step 3: Cross multiply
    28,938x = 61,431 × 61,431
  4. Step 4: Simplify right side
    28,938x = 3,773,767,761
  5. Step 5: Solve for x
    x = 3,773,767,761/28,938
  6. Step 6: Final answer
    x = 130,408.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.