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Finding the Third Proportional to 18,015.75 and 25,714.13

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Solution

The third proportional to 18,015.75 and 25,714.13 is: 36,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,015.75 : 25,714.13 = 25,714.13 : x
  2. Step 2: Convert to fraction form
    18,015.75/25,714.13 = 25,714.13/x
  3. Step 3: Cross multiply
    18,015.75x = 25,714.13 × 25,714.13
  4. Step 4: Simplify right side
    18,015.75x = 661,216,224.52
  5. Step 5: Solve for x
    x = 661,216,224.52/18,015.75
  6. Step 6: Final answer
    x = 36,702.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.