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Finding the Third Proportional to 25,484 and 51,655

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Solution

The third proportional to 25,484 and 51,655 is: 104,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,484 : 51,655 = 51,655 : x
  2. Step 2: Convert to fraction form
    25,484/51,655 = 51,655/x
  3. Step 3: Cross multiply
    25,484x = 51,655 × 51,655
  4. Step 4: Simplify right side
    25,484x = 2,668,239,025
  5. Step 5: Solve for x
    x = 2,668,239,025/25,484
  6. Step 6: Final answer
    x = 104,702.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.