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Finding the Third Proportional to 12,089.81 and 18,492.47

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Solution

The third proportional to 12,089.81 and 18,492.47 is: 28,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.81 : 18,492.47 = 18,492.47 : x
  2. Step 2: Convert to fraction form
    12,089.81/18,492.47 = 18,492.47/x
  3. Step 3: Cross multiply
    12,089.81x = 18,492.47 × 18,492.47
  4. Step 4: Simplify right side
    12,089.81x = 341,971,400.47
  5. Step 5: Solve for x
    x = 341,971,400.47/12,089.81
  6. Step 6: Final answer
    x = 28,285.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.