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Finding the Third Proportional to 6,501.09 and 13,812.19

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Solution

The third proportional to 6,501.09 and 13,812.19 is: 29,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.09 : 13,812.19 = 13,812.19 : x
  2. Step 2: Convert to fraction form
    6,501.09/13,812.19 = 13,812.19/x
  3. Step 3: Cross multiply
    6,501.09x = 13,812.19 × 13,812.19
  4. Step 4: Simplify right side
    6,501.09x = 190,776,523.54
  5. Step 5: Solve for x
    x = 190,776,523.54/6,501.09
  6. Step 6: Final answer
    x = 29,345.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.