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Finding the Third Proportional to 29,096 and 46,148

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Solution

The third proportional to 29,096 and 46,148 is: 73,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,096 : 46,148 = 46,148 : x
  2. Step 2: Convert to fraction form
    29,096/46,148 = 46,148/x
  3. Step 3: Cross multiply
    29,096x = 46,148 × 46,148
  4. Step 4: Simplify right side
    29,096x = 2,129,637,904
  5. Step 5: Solve for x
    x = 2,129,637,904/29,096
  6. Step 6: Final answer
    x = 73,193.49

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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.