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Finding the Third Proportional to 25,642.13 and 38,804.63

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Solution

The third proportional to 25,642.13 and 38,804.63 is: 58,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.13 : 38,804.63 = 38,804.63 : x
  2. Step 2: Convert to fraction form
    25,642.13/38,804.63 = 38,804.63/x
  3. Step 3: Cross multiply
    25,642.13x = 38,804.63 × 38,804.63
  4. Step 4: Simplify right side
    25,642.13x = 1,505,798,921.39
  5. Step 5: Solve for x
    x = 1,505,798,921.39/25,642.13
  6. Step 6: Final answer
    x = 58,723.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.