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Finding the Third Proportional to 65,638.69 and 72,405.56

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Solution

The third proportional to 65,638.69 and 72,405.56 is: 79,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,638.69 : 72,405.56 = 72,405.56 : x
  2. Step 2: Convert to fraction form
    65,638.69/72,405.56 = 72,405.56/x
  3. Step 3: Cross multiply
    65,638.69x = 72,405.56 × 72,405.56
  4. Step 4: Simplify right side
    65,638.69x = 5,242,565,480.94
  5. Step 5: Solve for x
    x = 5,242,565,480.94/65,638.69
  6. Step 6: Final answer
    x = 79,870.05

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.