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Finding the Third Proportional to 34,269.64 and 51,119.23

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Solution

The third proportional to 34,269.64 and 51,119.23 is: 76,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,269.64 : 51,119.23 = 51,119.23 : x
  2. Step 2: Convert to fraction form
    34,269.64/51,119.23 = 51,119.23/x
  3. Step 3: Cross multiply
    34,269.64x = 51,119.23 × 51,119.23
  4. Step 4: Simplify right side
    34,269.64x = 2,613,175,324.35
  5. Step 5: Solve for x
    x = 2,613,175,324.35/34,269.64
  6. Step 6: Final answer
    x = 76,253.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.