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Finding the Third Proportional to 25,036.59 and 35,709.61

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Solution

The third proportional to 25,036.59 and 35,709.61 is: 50,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,036.59 : 35,709.61 = 35,709.61 : x
  2. Step 2: Convert to fraction form
    25,036.59/35,709.61 = 35,709.61/x
  3. Step 3: Cross multiply
    25,036.59x = 35,709.61 × 35,709.61
  4. Step 4: Simplify right side
    25,036.59x = 1,275,176,201.72
  5. Step 5: Solve for x
    x = 1,275,176,201.72/25,036.59
  6. Step 6: Final answer
    x = 50,932.50

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.