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Finding the Third Proportional to 25,817 and 40,475

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Solution

The third proportional to 25,817 and 40,475 is: 63,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,817 : 40,475 = 40,475 : x
  2. Step 2: Convert to fraction form
    25,817/40,475 = 40,475/x
  3. Step 3: Cross multiply
    25,817x = 40,475 × 40,475
  4. Step 4: Simplify right side
    25,817x = 1,638,225,625
  5. Step 5: Solve for x
    x = 1,638,225,625/25,817
  6. Step 6: Final answer
    x = 63,455.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.