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Finding the Third Proportional to 19,504 and 29,429

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Solution

The third proportional to 19,504 and 29,429 is: 44,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504 : 29,429 = 29,429 : x
  2. Step 2: Convert to fraction form
    19,504/29,429 = 29,429/x
  3. Step 3: Cross multiply
    19,504x = 29,429 × 29,429
  4. Step 4: Simplify right side
    19,504x = 866,066,041
  5. Step 5: Solve for x
    x = 866,066,041/19,504
  6. Step 6: Final answer
    x = 44,404.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.