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Finding the Third Proportional to 11,925.81 and 17,524.06

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Solution

The third proportional to 11,925.81 and 17,524.06 is: 25,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.81 : 17,524.06 = 17,524.06 : x
  2. Step 2: Convert to fraction form
    11,925.81/17,524.06 = 17,524.06/x
  3. Step 3: Cross multiply
    11,925.81x = 17,524.06 × 17,524.06
  4. Step 4: Simplify right side
    11,925.81x = 307,092,766.50
  5. Step 5: Solve for x
    x = 307,092,766.50/11,925.81
  6. Step 6: Final answer
    x = 25,750.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.