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Finding the Third Proportional to 39,211 and 92,549.50

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Solution

The third proportional to 39,211 and 92,549.50 is: 218,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,211 : 92,549.50 = 92,549.50 : x
  2. Step 2: Convert to fraction form
    39,211/92,549.50 = 92,549.50/x
  3. Step 3: Cross multiply
    39,211x = 92,549.50 × 92,549.50
  4. Step 4: Simplify right side
    39,211x = 8,565,409,950.25
  5. Step 5: Solve for x
    x = 8,565,409,950.25/39,211
  6. Step 6: Final answer
    x = 218,444.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.