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Finding the Third Proportional to 29,256 and 41,688

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Solution

The third proportional to 29,256 and 41,688 is: 59,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,256 : 41,688 = 41,688 : x
  2. Step 2: Convert to fraction form
    29,256/41,688 = 41,688/x
  3. Step 3: Cross multiply
    29,256x = 41,688 × 41,688
  4. Step 4: Simplify right side
    29,256x = 1,737,889,344
  5. Step 5: Solve for x
    x = 1,737,889,344/29,256
  6. Step 6: Final answer
    x = 59,402.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.