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Finding the Third Proportional to 29,078 and 46,120

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Solution

The third proportional to 29,078 and 46,120 is: 73,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,078 : 46,120 = 46,120 : x
  2. Step 2: Convert to fraction form
    29,078/46,120 = 46,120/x
  3. Step 3: Cross multiply
    29,078x = 46,120 × 46,120
  4. Step 4: Simplify right side
    29,078x = 2,127,054,400
  5. Step 5: Solve for x
    x = 2,127,054,400/29,078
  6. Step 6: Final answer
    x = 73,149.96

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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.