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Finding the Third Proportional to 14,826.75 and 35,440.13

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Solution

The third proportional to 14,826.75 and 35,440.13 is: 84,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,826.75 : 35,440.13 = 35,440.13 : x
  2. Step 2: Convert to fraction form
    14,826.75/35,440.13 = 35,440.13/x
  3. Step 3: Cross multiply
    14,826.75x = 35,440.13 × 35,440.13
  4. Step 4: Simplify right side
    14,826.75x = 1,256,002,460.02
  5. Step 5: Solve for x
    x = 1,256,002,460.02/14,826.75
  6. Step 6: Final answer
    x = 84,711.92

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.