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Finding the Third Proportional to 15,709.57 and 33,034.71

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Solution

The third proportional to 15,709.57 and 33,034.71 is: 69,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.57 : 33,034.71 = 33,034.71 : x
  2. Step 2: Convert to fraction form
    15,709.57/33,034.71 = 33,034.71/x
  3. Step 3: Cross multiply
    15,709.57x = 33,034.71 × 33,034.71
  4. Step 4: Simplify right side
    15,709.57x = 1,091,292,126.72
  5. Step 5: Solve for x
    x = 1,091,292,126.72/15,709.57
  6. Step 6: Final answer
    x = 69,466.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.