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Finding the Third Proportional to 38,503.69 and 51,504.19

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Solution

The third proportional to 38,503.69 and 51,504.19 is: 68,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.69 : 51,504.19 = 51,504.19 : x
  2. Step 2: Convert to fraction form
    38,503.69/51,504.19 = 51,504.19/x
  3. Step 3: Cross multiply
    38,503.69x = 51,504.19 × 51,504.19
  4. Step 4: Simplify right side
    38,503.69x = 2,652,681,330.04
  5. Step 5: Solve for x
    x = 2,652,681,330.04/38,503.69
  6. Step 6: Final answer
    x = 68,894.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.