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Finding the Third Proportional to 44,634.50 and 59,236

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Solution

The third proportional to 44,634.50 and 59,236 is: 78,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,634.50 : 59,236 = 59,236 : x
  2. Step 2: Convert to fraction form
    44,634.50/59,236 = 59,236/x
  3. Step 3: Cross multiply
    44,634.50x = 59,236 × 59,236
  4. Step 4: Simplify right side
    44,634.50x = 3,508,903,696
  5. Step 5: Solve for x
    x = 3,508,903,696/44,634.50
  6. Step 6: Final answer
    x = 78,614.16

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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.