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Finding the Third Proportional to 23,527.74 and 35,343.86

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Solution

The third proportional to 23,527.74 and 35,343.86 is: 53,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.74 : 35,343.86 = 35,343.86 : x
  2. Step 2: Convert to fraction form
    23,527.74/35,343.86 = 35,343.86/x
  3. Step 3: Cross multiply
    23,527.74x = 35,343.86 × 35,343.86
  4. Step 4: Simplify right side
    23,527.74x = 1,249,188,688.90
  5. Step 5: Solve for x
    x = 1,249,188,688.90/23,527.74
  6. Step 6: Final answer
    x = 53,094.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.