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Finding the Third Proportional to 23,476 and 36,033

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Solution

The third proportional to 23,476 and 36,033 is: 55,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476 : 36,033 = 36,033 : x
  2. Step 2: Convert to fraction form
    23,476/36,033 = 36,033/x
  3. Step 3: Cross multiply
    23,476x = 36,033 × 36,033
  4. Step 4: Simplify right side
    23,476x = 1,298,377,089
  5. Step 5: Solve for x
    x = 1,298,377,089/23,476
  6. Step 6: Final answer
    x = 55,306.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.