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Finding the Third Proportional to 41,014 and 62,875.50

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Solution

The third proportional to 41,014 and 62,875.50 is: 96,389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,014 : 62,875.50 = 62,875.50 : x
  2. Step 2: Convert to fraction form
    41,014/62,875.50 = 62,875.50/x
  3. Step 3: Cross multiply
    41,014x = 62,875.50 × 62,875.50
  4. Step 4: Simplify right side
    41,014x = 3,953,328,500.25
  5. Step 5: Solve for x
    x = 3,953,328,500.25/41,014
  6. Step 6: Final answer
    x = 96,389.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.