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Finding the Third Proportional to 10,008.56 and 16,121.53

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Solution

The third proportional to 10,008.56 and 16,121.53 is: 25,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.56 : 16,121.53 = 16,121.53 : x
  2. Step 2: Convert to fraction form
    10,008.56/16,121.53 = 16,121.53/x
  3. Step 3: Cross multiply
    10,008.56x = 16,121.53 × 16,121.53
  4. Step 4: Simplify right side
    10,008.56x = 259,903,769.84
  5. Step 5: Solve for x
    x = 259,903,769.84/10,008.56
  6. Step 6: Final answer
    x = 25,968.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.