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Finding the Third Proportional to 8,070.89 and 10,824.89

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Solution

The third proportional to 8,070.89 and 10,824.89 is: 14,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.89 : 10,824.89 = 10,824.89 : x
  2. Step 2: Convert to fraction form
    8,070.89/10,824.89 = 10,824.89/x
  3. Step 3: Cross multiply
    8,070.89x = 10,824.89 × 10,824.89
  4. Step 4: Simplify right side
    8,070.89x = 117,178,257.04
  5. Step 5: Solve for x
    x = 117,178,257.04/8,070.89
  6. Step 6: Final answer
    x = 14,518.63

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.