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Finding the Third Proportional to 6,503.06 and 13,816.13

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Solution

The third proportional to 6,503.06 and 13,816.13 is: 29,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.06 : 13,816.13 = 13,816.13 : x
  2. Step 2: Convert to fraction form
    6,503.06/13,816.13 = 13,816.13/x
  3. Step 3: Cross multiply
    6,503.06x = 13,816.13 × 13,816.13
  4. Step 4: Simplify right side
    6,503.06x = 190,885,310.02
  5. Step 5: Solve for x
    x = 190,885,310.02/6,503.06
  6. Step 6: Final answer
    x = 29,353.14

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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.