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Finding the Third Proportional to 11,073 and 14,386.50

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Solution

The third proportional to 11,073 and 14,386.50 is: 18,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,073 : 14,386.50 = 14,386.50 : x
  2. Step 2: Convert to fraction form
    11,073/14,386.50 = 14,386.50/x
  3. Step 3: Cross multiply
    11,073x = 14,386.50 × 14,386.50
  4. Step 4: Simplify right side
    11,073x = 206,971,382.25
  5. Step 5: Solve for x
    x = 206,971,382.25/11,073
  6. Step 6: Final answer
    x = 18,691.54

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.