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Finding the Third Proportional to 44,904.50 and 74,838

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Solution

The third proportional to 44,904.50 and 74,838 is: 124,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,904.50 : 74,838 = 74,838 : x
  2. Step 2: Convert to fraction form
    44,904.50/74,838 = 74,838/x
  3. Step 3: Cross multiply
    44,904.50x = 74,838 × 74,838
  4. Step 4: Simplify right side
    44,904.50x = 5,600,726,244
  5. Step 5: Solve for x
    x = 5,600,726,244/44,904.50
  6. Step 6: Final answer
    x = 124,725.28

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.