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Finding the Third Proportional to 11,700.07 and 25,535.88

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Solution

The third proportional to 11,700.07 and 25,535.88 is: 55,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.07 : 25,535.88 = 25,535.88 : x
  2. Step 2: Convert to fraction form
    11,700.07/25,535.88 = 25,535.88/x
  3. Step 3: Cross multiply
    11,700.07x = 25,535.88 × 25,535.88
  4. Step 4: Simplify right side
    11,700.07x = 652,081,311.01
  5. Step 5: Solve for x
    x = 652,081,311.01/11,700.07
  6. Step 6: Final answer
    x = 55,733.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.