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Finding the Third Proportional to 23,856.75 and 35,056.13

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Solution

The third proportional to 23,856.75 and 35,056.13 is: 51,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.75 : 35,056.13 = 35,056.13 : x
  2. Step 2: Convert to fraction form
    23,856.75/35,056.13 = 35,056.13/x
  3. Step 3: Cross multiply
    23,856.75x = 35,056.13 × 35,056.13
  4. Step 4: Simplify right side
    23,856.75x = 1,228,931,900.02
  5. Step 5: Solve for x
    x = 1,228,931,900.02/23,856.75
  6. Step 6: Final answer
    x = 51,512.96

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