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Finding the Third Proportional to 25,594 and 55,559

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Solution

The third proportional to 25,594 and 55,559 is: 120,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594 : 55,559 = 55,559 : x
  2. Step 2: Convert to fraction form
    25,594/55,559 = 55,559/x
  3. Step 3: Cross multiply
    25,594x = 55,559 × 55,559
  4. Step 4: Simplify right side
    25,594x = 3,086,802,481
  5. Step 5: Solve for x
    x = 3,086,802,481/25,594
  6. Step 6: Final answer
    x = 120,606.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.