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Finding the Third Proportional to 15,817.78 and 20,525.91

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Solution

The third proportional to 15,817.78 and 20,525.91 is: 26,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.78 : 20,525.91 = 20,525.91 : x
  2. Step 2: Convert to fraction form
    15,817.78/20,525.91 = 20,525.91/x
  3. Step 3: Cross multiply
    15,817.78x = 20,525.91 × 20,525.91
  4. Step 4: Simplify right side
    15,817.78x = 421,312,827.38
  5. Step 5: Solve for x
    x = 421,312,827.38/15,817.78
  6. Step 6: Final answer
    x = 26,635.39

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.