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Finding the Third Proportional to 25,513.18 and 35,692.86

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Solution

The third proportional to 25,513.18 and 35,692.86 is: 49,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,513.18 : 35,692.86 = 35,692.86 : x
  2. Step 2: Convert to fraction form
    25,513.18/35,692.86 = 35,692.86/x
  3. Step 3: Cross multiply
    25,513.18x = 35,692.86 × 35,692.86
  4. Step 4: Simplify right side
    25,513.18x = 1,273,980,051.33
  5. Step 5: Solve for x
    x = 1,273,980,051.33/25,513.18
  6. Step 6: Final answer
    x = 49,934.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.