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Finding the Third Proportional to 25,272 and 54,705

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Solution

The third proportional to 25,272 and 54,705 is: 118,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,272 : 54,705 = 54,705 : x
  2. Step 2: Convert to fraction form
    25,272/54,705 = 54,705/x
  3. Step 3: Cross multiply
    25,272x = 54,705 × 54,705
  4. Step 4: Simplify right side
    25,272x = 2,992,637,025
  5. Step 5: Solve for x
    x = 2,992,637,025/25,272
  6. Step 6: Final answer
    x = 118,417.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.