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Finding the Third Proportional to 13,545 and 32,629.50

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Solution

The third proportional to 13,545 and 32,629.50 is: 78,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545 : 32,629.50 = 32,629.50 : x
  2. Step 2: Convert to fraction form
    13,545/32,629.50 = 32,629.50/x
  3. Step 3: Cross multiply
    13,545x = 32,629.50 × 32,629.50
  4. Step 4: Simplify right side
    13,545x = 1,064,684,270.25
  5. Step 5: Solve for x
    x = 1,064,684,270.25/13,545
  6. Step 6: Final answer
    x = 78,603.49

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.