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Finding the Third Proportional to 25,914 and 38,020

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Solution

The third proportional to 25,914 and 38,020 is: 55,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914 : 38,020 = 38,020 : x
  2. Step 2: Convert to fraction form
    25,914/38,020 = 38,020/x
  3. Step 3: Cross multiply
    25,914x = 38,020 × 38,020
  4. Step 4: Simplify right side
    25,914x = 1,445,520,400
  5. Step 5: Solve for x
    x = 1,445,520,400/25,914
  6. Step 6: Final answer
    x = 55,781.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.