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Finding the Third Proportional to 40,965.50 and 61,737

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Solution

The third proportional to 40,965.50 and 61,737 is: 93,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,965.50 : 61,737 = 61,737 : x
  2. Step 2: Convert to fraction form
    40,965.50/61,737 = 61,737/x
  3. Step 3: Cross multiply
    40,965.50x = 61,737 × 61,737
  4. Step 4: Simplify right side
    40,965.50x = 3,811,457,169
  5. Step 5: Solve for x
    x = 3,811,457,169/40,965.50
  6. Step 6: Final answer
    x = 93,040.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.