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Finding the Third Proportional to 57,145.50 and 63,524.25

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Solution

The third proportional to 57,145.50 and 63,524.25 is: 70,615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.50 : 63,524.25 = 63,524.25 : x
  2. Step 2: Convert to fraction form
    57,145.50/63,524.25 = 63,524.25/x
  3. Step 3: Cross multiply
    57,145.50x = 63,524.25 × 63,524.25
  4. Step 4: Simplify right side
    57,145.50x = 4,035,330,338.06
  5. Step 5: Solve for x
    x = 4,035,330,338.06/57,145.50
  6. Step 6: Final answer
    x = 70,615.01

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.