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Finding the Third Proportional to 41,953 and 61,737

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Solution

The third proportional to 41,953 and 61,737 is: 90,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,953 : 61,737 = 61,737 : x
  2. Step 2: Convert to fraction form
    41,953/61,737 = 61,737/x
  3. Step 3: Cross multiply
    41,953x = 61,737 × 61,737
  4. Step 4: Simplify right side
    41,953x = 3,811,457,169
  5. Step 5: Solve for x
    x = 3,811,457,169/41,953
  6. Step 6: Final answer
    x = 90,850.65

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Why These Related Problems?

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