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Finding the Third Proportional to 38,313 and 51,133.50

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Solution

The third proportional to 38,313 and 51,133.50 is: 68,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,313 : 51,133.50 = 51,133.50 : x
  2. Step 2: Convert to fraction form
    38,313/51,133.50 = 51,133.50/x
  3. Step 3: Cross multiply
    38,313x = 51,133.50 × 51,133.50
  4. Step 4: Simplify right side
    38,313x = 2,614,634,822.25
  5. Step 5: Solve for x
    x = 2,614,634,822.25/38,313
  6. Step 6: Final answer
    x = 68,244.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.