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Finding the Third Proportional to 5,920.13 and 12,762.56

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Solution

The third proportional to 5,920.13 and 12,762.56 is: 27,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.13 : 12,762.56 = 12,762.56 : x
  2. Step 2: Convert to fraction form
    5,920.13/12,762.56 = 12,762.56/x
  3. Step 3: Cross multiply
    5,920.13x = 12,762.56 × 12,762.56
  4. Step 4: Simplify right side
    5,920.13x = 162,883,001.57
  5. Step 5: Solve for x
    x = 162,883,001.57/5,920.13
  6. Step 6: Final answer
    x = 27,513.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.