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Finding the Third Proportional to 5,980.08 and 8,785.02

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Solution

The third proportional to 5,980.08 and 8,785.02 is: 12,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.08 : 8,785.02 = 8,785.02 : x
  2. Step 2: Convert to fraction form
    5,980.08/8,785.02 = 8,785.02/x
  3. Step 3: Cross multiply
    5,980.08x = 8,785.02 × 8,785.02
  4. Step 4: Simplify right side
    5,980.08x = 77,176,568.16
  5. Step 5: Solve for x
    x = 77,176,568.16/5,980.08
  6. Step 6: Final answer
    x = 12,905.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.