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Finding the Third Proportional to 15,897.66 and 25,306.03

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Solution

The third proportional to 15,897.66 and 25,306.03 is: 40,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.66 : 25,306.03 = 25,306.03 : x
  2. Step 2: Convert to fraction form
    15,897.66/25,306.03 = 25,306.03/x
  3. Step 3: Cross multiply
    15,897.66x = 25,306.03 × 25,306.03
  4. Step 4: Simplify right side
    15,897.66x = 640,395,217.63
  5. Step 5: Solve for x
    x = 640,395,217.63/15,897.66
  6. Step 6: Final answer
    x = 40,282.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.