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Finding the Third Proportional to 7,085.81 and 13,645.13

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Solution

The third proportional to 7,085.81 and 13,645.13 is: 26,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.81 : 13,645.13 = 13,645.13 : x
  2. Step 2: Convert to fraction form
    7,085.81/13,645.13 = 13,645.13/x
  3. Step 3: Cross multiply
    7,085.81x = 13,645.13 × 13,645.13
  4. Step 4: Simplify right side
    7,085.81x = 186,189,436.27
  5. Step 5: Solve for x
    x = 186,189,436.27/7,085.81
  6. Step 6: Final answer
    x = 26,276.37

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.