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Finding the Third Proportional to 40,806 and 59,811.75

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Solution

The third proportional to 40,806 and 59,811.75 is: 87,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,806 : 59,811.75 = 59,811.75 : x
  2. Step 2: Convert to fraction form
    40,806/59,811.75 = 59,811.75/x
  3. Step 3: Cross multiply
    40,806x = 59,811.75 × 59,811.75
  4. Step 4: Simplify right side
    40,806x = 3,577,445,438.06
  5. Step 5: Solve for x
    x = 3,577,445,438.06/40,806
  6. Step 6: Final answer
    x = 87,669.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.