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Finding the Third Proportional to 23,883.19 and 52,358.06

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Solution

The third proportional to 23,883.19 and 52,358.06 is: 114,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,883.19 : 52,358.06 = 52,358.06 : x
  2. Step 2: Convert to fraction form
    23,883.19/52,358.06 = 52,358.06/x
  3. Step 3: Cross multiply
    23,883.19x = 52,358.06 × 52,358.06
  4. Step 4: Simplify right side
    23,883.19x = 2,741,366,708.75
  5. Step 5: Solve for x
    x = 2,741,366,708.75/23,883.19
  6. Step 6: Final answer
    x = 114,782.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.