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Finding the Third Proportional to 11,009.81 and 15,586.59

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Solution

The third proportional to 11,009.81 and 15,586.59 is: 22,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.81 : 15,586.59 = 15,586.59 : x
  2. Step 2: Convert to fraction form
    11,009.81/15,586.59 = 15,586.59/x
  3. Step 3: Cross multiply
    11,009.81x = 15,586.59 × 15,586.59
  4. Step 4: Simplify right side
    11,009.81x = 242,941,904.73
  5. Step 5: Solve for x
    x = 242,941,904.73/11,009.81
  6. Step 6: Final answer
    x = 22,065.94

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.