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Finding the Third Proportional to 25,032.94 and 38,747.81

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Solution

The third proportional to 25,032.94 and 38,747.81 is: 59,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,032.94 : 38,747.81 = 38,747.81 : x
  2. Step 2: Convert to fraction form
    25,032.94/38,747.81 = 38,747.81/x
  3. Step 3: Cross multiply
    25,032.94x = 38,747.81 × 38,747.81
  4. Step 4: Simplify right side
    25,032.94x = 1,501,392,973.54
  5. Step 5: Solve for x
    x = 1,501,392,973.54/25,032.94
  6. Step 6: Final answer
    x = 59,976.70

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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.