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Finding the Third Proportional to 15,894.31 and 34,519.75

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Solution

The third proportional to 15,894.31 and 34,519.75 is: 74,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.31 : 34,519.75 = 34,519.75 : x
  2. Step 2: Convert to fraction form
    15,894.31/34,519.75 = 34,519.75/x
  3. Step 3: Cross multiply
    15,894.31x = 34,519.75 × 34,519.75
  4. Step 4: Simplify right side
    15,894.31x = 1,191,613,140.06
  5. Step 5: Solve for x
    x = 1,191,613,140.06/15,894.31
  6. Step 6: Final answer
    x = 74,971.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.