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Finding the Third Proportional to 23,001.50 and 46,849

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Solution

The third proportional to 23,001.50 and 46,849 is: 95,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,001.50 : 46,849 = 46,849 : x
  2. Step 2: Convert to fraction form
    23,001.50/46,849 = 46,849/x
  3. Step 3: Cross multiply
    23,001.50x = 46,849 × 46,849
  4. Step 4: Simplify right side
    23,001.50x = 2,194,828,801
  5. Step 5: Solve for x
    x = 2,194,828,801/23,001.50
  6. Step 6: Final answer
    x = 95,421.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.