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Finding the Third Proportional to 23,038 and 48,535

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Solution

The third proportional to 23,038 and 48,535 is: 102,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038 : 48,535 = 48,535 : x
  2. Step 2: Convert to fraction form
    23,038/48,535 = 48,535/x
  3. Step 3: Cross multiply
    23,038x = 48,535 × 48,535
  4. Step 4: Simplify right side
    23,038x = 2,355,646,225
  5. Step 5: Solve for x
    x = 2,355,646,225/23,038
  6. Step 6: Final answer
    x = 102,250.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.