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Finding the Third Proportional to 29,532 and 46,962

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Solution

The third proportional to 29,532 and 46,962 is: 74,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,532 : 46,962 = 46,962 : x
  2. Step 2: Convert to fraction form
    29,532/46,962 = 46,962/x
  3. Step 3: Cross multiply
    29,532x = 46,962 × 46,962
  4. Step 4: Simplify right side
    29,532x = 2,205,429,444
  5. Step 5: Solve for x
    x = 2,205,429,444/29,532
  6. Step 6: Final answer
    x = 74,679.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.