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Finding the Third Proportional to 36,098 and 53,436

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Solution

The third proportional to 36,098 and 53,436 is: 79,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098 : 53,436 = 53,436 : x
  2. Step 2: Convert to fraction form
    36,098/53,436 = 53,436/x
  3. Step 3: Cross multiply
    36,098x = 53,436 × 53,436
  4. Step 4: Simplify right side
    36,098x = 2,855,406,096
  5. Step 5: Solve for x
    x = 2,855,406,096/36,098
  6. Step 6: Final answer
    x = 79,101.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.