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Finding the Third Proportional to 8,156.44 and 15,664.88

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Solution

The third proportional to 8,156.44 and 15,664.88 is: 30,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.44 : 15,664.88 = 15,664.88 : x
  2. Step 2: Convert to fraction form
    8,156.44/15,664.88 = 15,664.88/x
  3. Step 3: Cross multiply
    8,156.44x = 15,664.88 × 15,664.88
  4. Step 4: Simplify right side
    8,156.44x = 245,388,308.77
  5. Step 5: Solve for x
    x = 245,388,308.77/8,156.44
  6. Step 6: Final answer
    x = 30,085.23

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.