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Finding the Third Proportional to 29,094 and 44,487

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Solution

The third proportional to 29,094 and 44,487 is: 68,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,094 : 44,487 = 44,487 : x
  2. Step 2: Convert to fraction form
    29,094/44,487 = 44,487/x
  3. Step 3: Cross multiply
    29,094x = 44,487 × 44,487
  4. Step 4: Simplify right side
    29,094x = 1,979,093,169
  5. Step 5: Solve for x
    x = 1,979,093,169/29,094
  6. Step 6: Final answer
    x = 68,024.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.