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Finding the Third Proportional to 15,874.13 and 34,699.75

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Solution

The third proportional to 15,874.13 and 34,699.75 is: 75,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.13 : 34,699.75 = 34,699.75 : x
  2. Step 2: Convert to fraction form
    15,874.13/34,699.75 = 34,699.75/x
  3. Step 3: Cross multiply
    15,874.13x = 34,699.75 × 34,699.75
  4. Step 4: Simplify right side
    15,874.13x = 1,204,072,650.06
  5. Step 5: Solve for x
    x = 1,204,072,650.06/15,874.13
  6. Step 6: Final answer
    x = 75,851.28

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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.