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Finding the Third Proportional to 10,386.56 and 16,011.84

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Solution

The third proportional to 10,386.56 and 16,011.84 is: 24,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.56 : 16,011.84 = 16,011.84 : x
  2. Step 2: Convert to fraction form
    10,386.56/16,011.84 = 16,011.84/x
  3. Step 3: Cross multiply
    10,386.56x = 16,011.84 × 16,011.84
  4. Step 4: Simplify right side
    10,386.56x = 256,379,140.27
  5. Step 5: Solve for x
    x = 256,379,140.27/10,386.56
  6. Step 6: Final answer
    x = 24,683.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.