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Finding the Third Proportional to 13,816.83 and 29,980.13

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Solution

The third proportional to 13,816.83 and 29,980.13 is: 65,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.83 : 29,980.13 = 29,980.13 : x
  2. Step 2: Convert to fraction form
    13,816.83/29,980.13 = 29,980.13/x
  3. Step 3: Cross multiply
    13,816.83x = 29,980.13 × 29,980.13
  4. Step 4: Simplify right side
    13,816.83x = 898,807,895.02
  5. Step 5: Solve for x
    x = 898,807,895.02/13,816.83
  6. Step 6: Final answer
    x = 65,051.68

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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.