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Finding the Third Proportional to 13,830.75 and 15,045.75

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Solution

The third proportional to 13,830.75 and 15,045.75 is: 16,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.75 : 15,045.75 = 15,045.75 : x
  2. Step 2: Convert to fraction form
    13,830.75/15,045.75 = 15,045.75/x
  3. Step 3: Cross multiply
    13,830.75x = 15,045.75 × 15,045.75
  4. Step 4: Simplify right side
    13,830.75x = 226,374,593.06
  5. Step 5: Solve for x
    x = 226,374,593.06/13,830.75
  6. Step 6: Final answer
    x = 16,367.48

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.