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Finding the Third Proportional to 25,903.94 and 38,952.06

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Solution

The third proportional to 25,903.94 and 38,952.06 is: 58,572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,903.94 : 38,952.06 = 38,952.06 : x
  2. Step 2: Convert to fraction form
    25,903.94/38,952.06 = 38,952.06/x
  3. Step 3: Cross multiply
    25,903.94x = 38,952.06 × 38,952.06
  4. Step 4: Simplify right side
    25,903.94x = 1,517,263,173.00
  5. Step 5: Solve for x
    x = 1,517,263,173.00/25,903.94
  6. Step 6: Final answer
    x = 58,572.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.