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Finding the Third Proportional to 10,623.18 and 16,524.24

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Solution

The third proportional to 10,623.18 and 16,524.24 is: 25,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.18 : 16,524.24 = 16,524.24 : x
  2. Step 2: Convert to fraction form
    10,623.18/16,524.24 = 16,524.24/x
  3. Step 3: Cross multiply
    10,623.18x = 16,524.24 × 16,524.24
  4. Step 4: Simplify right side
    10,623.18x = 273,050,418.50
  5. Step 5: Solve for x
    x = 273,050,418.50/10,623.18
  6. Step 6: Final answer
    x = 25,703.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.