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Finding the Third Proportional to 11,134.69 and 16,337.53

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Solution

The third proportional to 11,134.69 and 16,337.53 is: 23,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.69 : 16,337.53 = 16,337.53 : x
  2. Step 2: Convert to fraction form
    11,134.69/16,337.53 = 16,337.53/x
  3. Step 3: Cross multiply
    11,134.69x = 16,337.53 × 16,337.53
  4. Step 4: Simplify right side
    11,134.69x = 266,914,927.34
  5. Step 5: Solve for x
    x = 266,914,927.34/11,134.69
  6. Step 6: Final answer
    x = 23,971.48

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Why These Related Problems?

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