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Finding the Third Proportional to 25,070.63 and 35,274.94

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Solution

The third proportional to 25,070.63 and 35,274.94 is: 49,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,070.63 : 35,274.94 = 35,274.94 : x
  2. Step 2: Convert to fraction form
    25,070.63/35,274.94 = 35,274.94/x
  3. Step 3: Cross multiply
    25,070.63x = 35,274.94 × 35,274.94
  4. Step 4: Simplify right side
    25,070.63x = 1,244,321,215.63
  5. Step 5: Solve for x
    x = 1,244,321,215.63/25,070.63
  6. Step 6: Final answer
    x = 49,632.64

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.