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Finding the Third Proportional to 38,430 and 49,104

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Solution

The third proportional to 38,430 and 49,104 is: 62,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430 : 49,104 = 49,104 : x
  2. Step 2: Convert to fraction form
    38,430/49,104 = 49,104/x
  3. Step 3: Cross multiply
    38,430x = 49,104 × 49,104
  4. Step 4: Simplify right side
    38,430x = 2,411,202,816
  5. Step 5: Solve for x
    x = 2,411,202,816/38,430
  6. Step 6: Final answer
    x = 62,742.72

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.