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Finding the Third Proportional to 25,772 and 54,312

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Solution

The third proportional to 25,772 and 54,312 is: 114,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772 : 54,312 = 54,312 : x
  2. Step 2: Convert to fraction form
    25,772/54,312 = 54,312/x
  3. Step 3: Cross multiply
    25,772x = 54,312 × 54,312
  4. Step 4: Simplify right side
    25,772x = 2,949,793,344
  5. Step 5: Solve for x
    x = 2,949,793,344/25,772
  6. Step 6: Final answer
    x = 114,457.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.