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Finding the Third Proportional to 6,140.81 and 13,299.19

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Solution

The third proportional to 6,140.81 and 13,299.19 is: 28,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.81 : 13,299.19 = 13,299.19 : x
  2. Step 2: Convert to fraction form
    6,140.81/13,299.19 = 13,299.19/x
  3. Step 3: Cross multiply
    6,140.81x = 13,299.19 × 13,299.19
  4. Step 4: Simplify right side
    6,140.81x = 176,868,388.16
  5. Step 5: Solve for x
    x = 176,868,388.16/6,140.81
  6. Step 6: Final answer
    x = 28,802.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.