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Finding the Third Proportional to 15,654 and 17,850

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Solution

The third proportional to 15,654 and 17,850 is: 20,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,654 : 17,850 = 17,850 : x
  2. Step 2: Convert to fraction form
    15,654/17,850 = 17,850/x
  3. Step 3: Cross multiply
    15,654x = 17,850 × 17,850
  4. Step 4: Simplify right side
    15,654x = 318,622,500
  5. Step 5: Solve for x
    x = 318,622,500/15,654
  6. Step 6: Final answer
    x = 20,354.06

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.