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Finding the Third Proportional to 25,465 and 54,830

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Solution

The third proportional to 25,465 and 54,830 is: 118,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465 : 54,830 = 54,830 : x
  2. Step 2: Convert to fraction form
    25,465/54,830 = 54,830/x
  3. Step 3: Cross multiply
    25,465x = 54,830 × 54,830
  4. Step 4: Simplify right side
    25,465x = 3,006,328,900
  5. Step 5: Solve for x
    x = 3,006,328,900/25,465
  6. Step 6: Final answer
    x = 118,057.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.