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Finding the Third Proportional to 29,698 and 46,134

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Solution

The third proportional to 29,698 and 46,134 is: 71,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698 : 46,134 = 46,134 : x
  2. Step 2: Convert to fraction form
    29,698/46,134 = 46,134/x
  3. Step 3: Cross multiply
    29,698x = 46,134 × 46,134
  4. Step 4: Simplify right side
    29,698x = 2,128,345,956
  5. Step 5: Solve for x
    x = 2,128,345,956/29,698
  6. Step 6: Final answer
    x = 71,666.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.