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Finding the Third Proportional to 15,971.25 and 25,003.13

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Solution

The third proportional to 15,971.25 and 25,003.13 is: 39,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.25 : 25,003.13 = 25,003.13 : x
  2. Step 2: Convert to fraction form
    15,971.25/25,003.13 = 25,003.13/x
  3. Step 3: Cross multiply
    15,971.25x = 25,003.13 × 25,003.13
  4. Step 4: Simplify right side
    15,971.25x = 625,156,259.77
  5. Step 5: Solve for x
    x = 625,156,259.77/15,971.25
  6. Step 6: Final answer
    x = 39,142.60

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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.