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Finding the Third Proportional to 11,700.07 and 25,584.61

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Solution

The third proportional to 11,700.07 and 25,584.61 is: 55,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.07 : 25,584.61 = 25,584.61 : x
  2. Step 2: Convert to fraction form
    11,700.07/25,584.61 = 25,584.61/x
  3. Step 3: Cross multiply
    11,700.07x = 25,584.61 × 25,584.61
  4. Step 4: Simplify right side
    11,700.07x = 654,572,236.87
  5. Step 5: Solve for x
    x = 654,572,236.87/11,700.07
  6. Step 6: Final answer
    x = 55,946.01

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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.