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Finding the Third Proportional to 15,950.25 and 25,646.63

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Solution

The third proportional to 15,950.25 and 25,646.63 is: 41,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,950.25 : 25,646.63 = 25,646.63 : x
  2. Step 2: Convert to fraction form
    15,950.25/25,646.63 = 25,646.63/x
  3. Step 3: Cross multiply
    15,950.25x = 25,646.63 × 25,646.63
  4. Step 4: Simplify right side
    15,950.25x = 657,749,373.89
  5. Step 5: Solve for x
    x = 657,749,373.89/15,950.25
  6. Step 6: Final answer
    x = 41,237.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.