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Finding the Third Proportional to 11,703 and 25,594

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Solution

The third proportional to 11,703 and 25,594 is: 55,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703 : 25,594 = 25,594 : x
  2. Step 2: Convert to fraction form
    11,703/25,594 = 25,594/x
  3. Step 3: Cross multiply
    11,703x = 25,594 × 25,594
  4. Step 4: Simplify right side
    11,703x = 655,052,836
  5. Step 5: Solve for x
    x = 655,052,836/11,703
  6. Step 6: Final answer
    x = 55,973.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.