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Finding the Third Proportional to 27,004.78 and 42,036.19

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Solution

The third proportional to 27,004.78 and 42,036.19 is: 65,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004.78 : 42,036.19 = 42,036.19 : x
  2. Step 2: Convert to fraction form
    27,004.78/42,036.19 = 42,036.19/x
  3. Step 3: Cross multiply
    27,004.78x = 42,036.19 × 42,036.19
  4. Step 4: Simplify right side
    27,004.78x = 1,767,041,059.54
  5. Step 5: Solve for x
    x = 1,767,041,059.54/27,004.78
  6. Step 6: Final answer
    x = 65,434.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.