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Finding the Third Proportional to 58,684 and 79,674

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Solution

The third proportional to 58,684 and 79,674 is: 108,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,684 : 79,674 = 79,674 : x
  2. Step 2: Convert to fraction form
    58,684/79,674 = 79,674/x
  3. Step 3: Cross multiply
    58,684x = 79,674 × 79,674
  4. Step 4: Simplify right side
    58,684x = 6,347,946,276
  5. Step 5: Solve for x
    x = 6,347,946,276/58,684
  6. Step 6: Final answer
    x = 108,171.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.