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Finding the Third Proportional to 25,574 and 38,895

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Solution

The third proportional to 25,574 and 38,895 is: 59,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574 : 38,895 = 38,895 : x
  2. Step 2: Convert to fraction form
    25,574/38,895 = 38,895/x
  3. Step 3: Cross multiply
    25,574x = 38,895 × 38,895
  4. Step 4: Simplify right side
    25,574x = 1,512,821,025
  5. Step 5: Solve for x
    x = 1,512,821,025/25,574
  6. Step 6: Final answer
    x = 59,154.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.