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Finding the Third Proportional to 23,948 and 52,085

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Solution

The third proportional to 23,948 and 52,085 is: 113,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,948 : 52,085 = 52,085 : x
  2. Step 2: Convert to fraction form
    23,948/52,085 = 52,085/x
  3. Step 3: Cross multiply
    23,948x = 52,085 × 52,085
  4. Step 4: Simplify right side
    23,948x = 2,712,847,225
  5. Step 5: Solve for x
    x = 2,712,847,225/23,948
  6. Step 6: Final answer
    x = 113,280.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.