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Finding the Third Proportional to 6,085.13 and 8,896.71

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Solution

The third proportional to 6,085.13 and 8,896.71 is: 13,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.13 : 8,896.71 = 8,896.71 : x
  2. Step 2: Convert to fraction form
    6,085.13/8,896.71 = 8,896.71/x
  3. Step 3: Cross multiply
    6,085.13x = 8,896.71 × 8,896.71
  4. Step 4: Simplify right side
    6,085.13x = 79,151,465.51
  5. Step 5: Solve for x
    x = 79,151,465.51/6,085.13
  6. Step 6: Final answer
    x = 13,007.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.