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Finding the Third Proportional to 13,685.63 and 29,716.88

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Solution

The third proportional to 13,685.63 and 29,716.88 is: 64,527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.63 : 29,716.88 = 29,716.88 : x
  2. Step 2: Convert to fraction form
    13,685.63/29,716.88 = 29,716.88/x
  3. Step 3: Cross multiply
    13,685.63x = 29,716.88 × 29,716.88
  4. Step 4: Simplify right side
    13,685.63x = 883,092,659.77
  5. Step 5: Solve for x
    x = 883,092,659.77/13,685.63
  6. Step 6: Final answer
    x = 64,527.02

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