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Finding the Third Proportional to 5,869.97 and 7,973.44

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Solution

The third proportional to 5,869.97 and 7,973.44 is: 10,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.97 : 7,973.44 = 7,973.44 : x
  2. Step 2: Convert to fraction form
    5,869.97/7,973.44 = 7,973.44/x
  3. Step 3: Cross multiply
    5,869.97x = 7,973.44 × 7,973.44
  4. Step 4: Simplify right side
    5,869.97x = 63,575,705.57
  5. Step 5: Solve for x
    x = 63,575,705.57/5,869.97
  6. Step 6: Final answer
    x = 10,830.67

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.