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Finding the Third Proportional to 5,807.06 and 8,573.81

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Solution

The third proportional to 5,807.06 and 8,573.81 is: 12,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.06 : 8,573.81 = 8,573.81 : x
  2. Step 2: Convert to fraction form
    5,807.06/8,573.81 = 8,573.81/x
  3. Step 3: Cross multiply
    5,807.06x = 8,573.81 × 8,573.81
  4. Step 4: Simplify right side
    5,807.06x = 73,510,260.79
  5. Step 5: Solve for x
    x = 73,510,260.79/5,807.06
  6. Step 6: Final answer
    x = 12,658.77

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.