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Finding the Third Proportional to 10,592.25 and 14,055.75

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Solution

The third proportional to 10,592.25 and 14,055.75 is: 18,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.25 : 14,055.75 = 14,055.75 : x
  2. Step 2: Convert to fraction form
    10,592.25/14,055.75 = 14,055.75/x
  3. Step 3: Cross multiply
    10,592.25x = 14,055.75 × 14,055.75
  4. Step 4: Simplify right side
    10,592.25x = 197,564,108.06
  5. Step 5: Solve for x
    x = 197,564,108.06/10,592.25
  6. Step 6: Final answer
    x = 18,651.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.