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Finding the Third Proportional to 15,215.50 and 30,849.50

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Solution

The third proportional to 15,215.50 and 30,849.50 is: 62,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,215.50 : 30,849.50 = 30,849.50 : x
  2. Step 2: Convert to fraction form
    15,215.50/30,849.50 = 30,849.50/x
  3. Step 3: Cross multiply
    15,215.50x = 30,849.50 × 30,849.50
  4. Step 4: Simplify right side
    15,215.50x = 951,691,650.25
  5. Step 5: Solve for x
    x = 951,691,650.25/15,215.50
  6. Step 6: Final answer
    x = 62,547.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.