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Finding the Third Proportional to 27,150.47 and 42,039.42

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Solution

The third proportional to 27,150.47 and 42,039.42 is: 65,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,150.47 : 42,039.42 = 42,039.42 : x
  2. Step 2: Convert to fraction form
    27,150.47/42,039.42 = 42,039.42/x
  3. Step 3: Cross multiply
    27,150.47x = 42,039.42 × 42,039.42
  4. Step 4: Simplify right side
    27,150.47x = 1,767,312,991.58
  5. Step 5: Solve for x
    x = 1,767,312,991.58/27,150.47
  6. Step 6: Final answer
    x = 65,093.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.