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Finding the Third Proportional to 5,788.13 and 12,475.69

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Solution

The third proportional to 5,788.13 and 12,475.69 is: 26,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.13 : 12,475.69 = 12,475.69 : x
  2. Step 2: Convert to fraction form
    5,788.13/12,475.69 = 12,475.69/x
  3. Step 3: Cross multiply
    5,788.13x = 12,475.69 × 12,475.69
  4. Step 4: Simplify right side
    5,788.13x = 155,642,778.60
  5. Step 5: Solve for x
    x = 155,642,778.60/5,788.13
  6. Step 6: Final answer
    x = 26,890.02

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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.