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Finding the Third Proportional to 25,692.19 and 36,662.63

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Solution

The third proportional to 25,692.19 and 36,662.63 is: 52,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692.19 : 36,662.63 = 36,662.63 : x
  2. Step 2: Convert to fraction form
    25,692.19/36,662.63 = 36,662.63/x
  3. Step 3: Cross multiply
    25,692.19x = 36,662.63 × 36,662.63
  4. Step 4: Simplify right side
    25,692.19x = 1,344,148,071.89
  5. Step 5: Solve for x
    x = 1,344,148,071.89/25,692.19
  6. Step 6: Final answer
    x = 52,317.39

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Why These Related Problems?

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