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Finding the Third Proportional to 19,205 and 29,627

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Solution

The third proportional to 19,205 and 29,627 is: 45,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205 : 29,627 = 29,627 : x
  2. Step 2: Convert to fraction form
    19,205/29,627 = 29,627/x
  3. Step 3: Cross multiply
    19,205x = 29,627 × 29,627
  4. Step 4: Simplify right side
    19,205x = 877,759,129
  5. Step 5: Solve for x
    x = 877,759,129/19,205
  6. Step 6: Final answer
    x = 45,704.72

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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.