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Finding the Third Proportional to 35,743.50 and 76,239

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Solution

The third proportional to 35,743.50 and 76,239 is: 162,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,743.50 : 76,239 = 76,239 : x
  2. Step 2: Convert to fraction form
    35,743.50/76,239 = 76,239/x
  3. Step 3: Cross multiply
    35,743.50x = 76,239 × 76,239
  4. Step 4: Simplify right side
    35,743.50x = 5,812,385,121
  5. Step 5: Solve for x
    x = 5,812,385,121/35,743.50
  6. Step 6: Final answer
    x = 162,613.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.