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Finding the Third Proportional to 19,395 and 29,657

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Solution

The third proportional to 19,395 and 29,657 is: 45,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,395 : 29,657 = 29,657 : x
  2. Step 2: Convert to fraction form
    19,395/29,657 = 29,657/x
  3. Step 3: Cross multiply
    19,395x = 29,657 × 29,657
  4. Step 4: Simplify right side
    19,395x = 879,537,649
  5. Step 5: Solve for x
    x = 879,537,649/19,395
  6. Step 6: Final answer
    x = 45,348.68

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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.