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Finding the Third Proportional to 25,655 and 38,482

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Solution

The third proportional to 25,655 and 38,482 is: 57,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,655 : 38,482 = 38,482 : x
  2. Step 2: Convert to fraction form
    25,655/38,482 = 38,482/x
  3. Step 3: Cross multiply
    25,655x = 38,482 × 38,482
  4. Step 4: Simplify right side
    25,655x = 1,480,864,324
  5. Step 5: Solve for x
    x = 1,480,864,324/25,655
  6. Step 6: Final answer
    x = 57,722.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.