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Finding the Third Proportional to 10,325.44 and 16,411.13

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Solution

The third proportional to 10,325.44 and 16,411.13 is: 26,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.44 : 16,411.13 = 16,411.13 : x
  2. Step 2: Convert to fraction form
    10,325.44/16,411.13 = 16,411.13/x
  3. Step 3: Cross multiply
    10,325.44x = 16,411.13 × 16,411.13
  4. Step 4: Simplify right side
    10,325.44x = 269,325,023.77
  5. Step 5: Solve for x
    x = 269,325,023.77/10,325.44
  6. Step 6: Final answer
    x = 26,083.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.