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Finding the Third Proportional to 13,140 and 27,643.50

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Solution

The third proportional to 13,140 and 27,643.50 is: 58,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140 : 27,643.50 = 27,643.50 : x
  2. Step 2: Convert to fraction form
    13,140/27,643.50 = 27,643.50/x
  3. Step 3: Cross multiply
    13,140x = 27,643.50 × 27,643.50
  4. Step 4: Simplify right side
    13,140x = 764,163,092.25
  5. Step 5: Solve for x
    x = 764,163,092.25/13,140
  6. Step 6: Final answer
    x = 58,155.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.