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Finding the Third Proportional to 23,864.63 and 50,128.88

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Solution

The third proportional to 23,864.63 and 50,128.88 is: 105,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864.63 : 50,128.88 = 50,128.88 : x
  2. Step 2: Convert to fraction form
    23,864.63/50,128.88 = 50,128.88/x
  3. Step 3: Cross multiply
    23,864.63x = 50,128.88 × 50,128.88
  4. Step 4: Simplify right side
    23,864.63x = 2,512,904,108.77
  5. Step 5: Solve for x
    x = 2,512,904,108.77/23,864.63
  6. Step 6: Final answer
    x = 105,298.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.