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Finding the Third Proportional to 5,730.75 and 12,323.81

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Solution

The third proportional to 5,730.75 and 12,323.81 is: 26,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.75 : 12,323.81 = 12,323.81 : x
  2. Step 2: Convert to fraction form
    5,730.75/12,323.81 = 12,323.81/x
  3. Step 3: Cross multiply
    5,730.75x = 12,323.81 × 12,323.81
  4. Step 4: Simplify right side
    5,730.75x = 151,876,354.54
  5. Step 5: Solve for x
    x = 151,876,354.54/5,730.75
  6. Step 6: Final answer
    x = 26,502.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.