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Finding the Third Proportional to 13,699.13 and 29,509.31

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Solution

The third proportional to 13,699.13 and 29,509.31 is: 63,566.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.13 : 29,509.31 = 29,509.31 : x
  2. Step 2: Convert to fraction form
    13,699.13/29,509.31 = 29,509.31/x
  3. Step 3: Cross multiply
    13,699.13x = 29,509.31 × 29,509.31
  4. Step 4: Simplify right side
    13,699.13x = 870,799,524.22
  5. Step 5: Solve for x
    x = 870,799,524.22/13,699.13
  6. Step 6: Final answer
    x = 63,566.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.