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Finding the Third Proportional to 58,684 and 79,733

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Solution

The third proportional to 58,684 and 79,733 is: 108,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,684 : 79,733 = 79,733 : x
  2. Step 2: Convert to fraction form
    58,684/79,733 = 79,733/x
  3. Step 3: Cross multiply
    58,684x = 79,733 × 79,733
  4. Step 4: Simplify right side
    58,684x = 6,357,351,289
  5. Step 5: Solve for x
    x = 6,357,351,289/58,684
  6. Step 6: Final answer
    x = 108,331.94

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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.