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Finding the Third Proportional to 10,305 and 16,592.25

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Solution

The third proportional to 10,305 and 16,592.25 is: 26,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305 : 16,592.25 = 16,592.25 : x
  2. Step 2: Convert to fraction form
    10,305/16,592.25 = 16,592.25/x
  3. Step 3: Cross multiply
    10,305x = 16,592.25 × 16,592.25
  4. Step 4: Simplify right side
    10,305x = 275,302,760.06
  5. Step 5: Solve for x
    x = 275,302,760.06/10,305
  6. Step 6: Final answer
    x = 26,715.45

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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.