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Finding the Third Proportional to 10,822.36 and 16,265.18

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Solution

The third proportional to 10,822.36 and 16,265.18 is: 24,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.36 : 16,265.18 = 16,265.18 : x
  2. Step 2: Convert to fraction form
    10,822.36/16,265.18 = 16,265.18/x
  3. Step 3: Cross multiply
    10,822.36x = 16,265.18 × 16,265.18
  4. Step 4: Simplify right side
    10,822.36x = 264,556,070.27
  5. Step 5: Solve for x
    x = 264,556,070.27/10,822.36
  6. Step 6: Final answer
    x = 24,445.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.