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Finding the Third Proportional to 12,692.81 and 25,693.31

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Solution

The third proportional to 12,692.81 and 25,693.31 is: 52,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.81 : 25,693.31 = 25,693.31 : x
  2. Step 2: Convert to fraction form
    12,692.81/25,693.31 = 25,693.31/x
  3. Step 3: Cross multiply
    12,692.81x = 25,693.31 × 25,693.31
  4. Step 4: Simplify right side
    12,692.81x = 660,146,307.22
  5. Step 5: Solve for x
    x = 660,146,307.22/12,692.81
  6. Step 6: Final answer
    x = 52,009.46

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.