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Finding the Third Proportional to 19,371 and 29,898

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Solution

The third proportional to 19,371 and 29,898 is: 46,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,371 : 29,898 = 29,898 : x
  2. Step 2: Convert to fraction form
    19,371/29,898 = 29,898/x
  3. Step 3: Cross multiply
    19,371x = 29,898 × 29,898
  4. Step 4: Simplify right side
    19,371x = 893,890,404
  5. Step 5: Solve for x
    x = 893,890,404/19,371
  6. Step 6: Final answer
    x = 46,145.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.