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Finding the Third Proportional to 12,645 and 27,362.25

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Solution

The third proportional to 12,645 and 27,362.25 is: 59,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645 : 27,362.25 = 27,362.25 : x
  2. Step 2: Convert to fraction form
    12,645/27,362.25 = 27,362.25/x
  3. Step 3: Cross multiply
    12,645x = 27,362.25 × 27,362.25
  4. Step 4: Simplify right side
    12,645x = 748,692,725.06
  5. Step 5: Solve for x
    x = 748,692,725.06/12,645
  6. Step 6: Final answer
    x = 59,208.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.