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Finding the Third Proportional to 34,749 and 57,515.06

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Solution

The third proportional to 34,749 and 57,515.06 is: 95,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,749 : 57,515.06 = 57,515.06 : x
  2. Step 2: Convert to fraction form
    34,749/57,515.06 = 57,515.06/x
  3. Step 3: Cross multiply
    34,749x = 57,515.06 × 57,515.06
  4. Step 4: Simplify right side
    34,749x = 3,307,982,414.38
  5. Step 5: Solve for x
    x = 3,307,982,414.38/34,749
  6. Step 6: Final answer
    x = 95,196.48

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.