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Finding the Third Proportional to 44,633 and 67,406.50

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Solution

The third proportional to 44,633 and 67,406.50 is: 101,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,633 : 67,406.50 = 67,406.50 : x
  2. Step 2: Convert to fraction form
    44,633/67,406.50 = 67,406.50/x
  3. Step 3: Cross multiply
    44,633x = 67,406.50 × 67,406.50
  4. Step 4: Simplify right side
    44,633x = 4,543,636,242.25
  5. Step 5: Solve for x
    x = 4,543,636,242.25/44,633
  6. Step 6: Final answer
    x = 101,799.93

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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.