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Finding the Third Proportional to 29,685 and 46,112

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Solution

The third proportional to 29,685 and 46,112 is: 71,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685 : 46,112 = 46,112 : x
  2. Step 2: Convert to fraction form
    29,685/46,112 = 46,112/x
  3. Step 3: Cross multiply
    29,685x = 46,112 × 46,112
  4. Step 4: Simplify right side
    29,685x = 2,126,316,544
  5. Step 5: Solve for x
    x = 2,126,316,544/29,685
  6. Step 6: Final answer
    x = 71,629.33

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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.