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Finding the Third Proportional to 49,933.50 and 77,313

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Solution

The third proportional to 49,933.50 and 77,313 is: 119,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,933.50 : 77,313 = 77,313 : x
  2. Step 2: Convert to fraction form
    49,933.50/77,313 = 77,313/x
  3. Step 3: Cross multiply
    49,933.50x = 77,313 × 77,313
  4. Step 4: Simplify right side
    49,933.50x = 5,977,299,969
  5. Step 5: Solve for x
    x = 5,977,299,969/49,933.50
  6. Step 6: Final answer
    x = 119,705.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.