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Finding the Third Proportional to 44,866 and 65,210

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Solution

The third proportional to 44,866 and 65,210 is: 94,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,866 : 65,210 = 65,210 : x
  2. Step 2: Convert to fraction form
    44,866/65,210 = 65,210/x
  3. Step 3: Cross multiply
    44,866x = 65,210 × 65,210
  4. Step 4: Simplify right side
    44,866x = 4,252,344,100
  5. Step 5: Solve for x
    x = 4,252,344,100/44,866
  6. Step 6: Final answer
    x = 94,778.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.