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Finding the Third Proportional to 6,089.63 and 13,364.72

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Solution

The third proportional to 6,089.63 and 13,364.72 is: 29,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.63 : 13,364.72 = 13,364.72 : x
  2. Step 2: Convert to fraction form
    6,089.63/13,364.72 = 13,364.72/x
  3. Step 3: Cross multiply
    6,089.63x = 13,364.72 × 13,364.72
  4. Step 4: Simplify right side
    6,089.63x = 178,615,707.27
  5. Step 5: Solve for x
    x = 178,615,707.27/6,089.63
  6. Step 6: Final answer
    x = 29,331.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.