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Finding the Third Proportional to 14,238.28 and 22,102.88

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Solution

The third proportional to 14,238.28 and 22,102.88 is: 34,311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.28 : 22,102.88 = 22,102.88 : x
  2. Step 2: Convert to fraction form
    14,238.28/22,102.88 = 22,102.88/x
  3. Step 3: Cross multiply
    14,238.28x = 22,102.88 × 22,102.88
  4. Step 4: Simplify right side
    14,238.28x = 488,537,083.27
  5. Step 5: Solve for x
    x = 488,537,083.27/14,238.28
  6. Step 6: Final answer
    x = 34,311.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.