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Finding the Third Proportional to 14,841.42 and 21,865.92

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Solution

The third proportional to 14,841.42 and 21,865.92 is: 32,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,841.42 : 21,865.92 = 21,865.92 : x
  2. Step 2: Convert to fraction form
    14,841.42/21,865.92 = 21,865.92/x
  3. Step 3: Cross multiply
    14,841.42x = 21,865.92 × 21,865.92
  4. Step 4: Simplify right side
    14,841.42x = 478,118,539.44
  5. Step 5: Solve for x
    x = 478,118,539.44/14,841.42
  6. Step 6: Final answer
    x = 32,215.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.