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Finding the Third Proportional to 6,584.63 and 15,089.63

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Solution

The third proportional to 6,584.63 and 15,089.63 is: 34,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.63 : 15,089.63 = 15,089.63 : x
  2. Step 2: Convert to fraction form
    6,584.63/15,089.63 = 15,089.63/x
  3. Step 3: Cross multiply
    6,584.63x = 15,089.63 × 15,089.63
  4. Step 4: Simplify right side
    6,584.63x = 227,696,782.64
  5. Step 5: Solve for x
    x = 227,696,782.64/6,584.63
  6. Step 6: Final answer
    x = 34,580.07

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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.