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Finding the Third Proportional to 38,037.09 and 48,637.97

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Solution

The third proportional to 38,037.09 and 48,637.97 is: 62,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,037.09 : 48,637.97 = 48,637.97 : x
  2. Step 2: Convert to fraction form
    38,037.09/48,637.97 = 48,637.97/x
  3. Step 3: Cross multiply
    38,037.09x = 48,637.97 × 48,637.97
  4. Step 4: Simplify right side
    38,037.09x = 2,365,652,004.13
  5. Step 5: Solve for x
    x = 2,365,652,004.13/38,037.09
  6. Step 6: Final answer
    x = 62,193.29

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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.