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Finding the Third Proportional to 23,000.63 and 54,195.75

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Solution

The third proportional to 23,000.63 and 54,195.75 is: 127,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.63 : 54,195.75 = 54,195.75 : x
  2. Step 2: Convert to fraction form
    23,000.63/54,195.75 = 54,195.75/x
  3. Step 3: Cross multiply
    23,000.63x = 54,195.75 × 54,195.75
  4. Step 4: Simplify right side
    23,000.63x = 2,937,179,318.06
  5. Step 5: Solve for x
    x = 2,937,179,318.06/23,000.63
  6. Step 6: Final answer
    x = 127,699.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.