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Finding the Third Proportional to 17,537.34 and 38,766.09

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Solution

The third proportional to 17,537.34 and 38,766.09 is: 85,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.34 : 38,766.09 = 38,766.09 : x
  2. Step 2: Convert to fraction form
    17,537.34/38,766.09 = 38,766.09/x
  3. Step 3: Cross multiply
    17,537.34x = 38,766.09 × 38,766.09
  4. Step 4: Simplify right side
    17,537.34x = 1,502,810,024.63
  5. Step 5: Solve for x
    x = 1,502,810,024.63/17,537.34
  6. Step 6: Final answer
    x = 85,692.00

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.