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Finding the Third Proportional to 13,238.25 and 29,140.50

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Solution

The third proportional to 13,238.25 and 29,140.50 is: 64,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.25 : 29,140.50 = 29,140.50 : x
  2. Step 2: Convert to fraction form
    13,238.25/29,140.50 = 29,140.50/x
  3. Step 3: Cross multiply
    13,238.25x = 29,140.50 × 29,140.50
  4. Step 4: Simplify right side
    13,238.25x = 849,168,740.25
  5. Step 5: Solve for x
    x = 849,168,740.25/13,238.25
  6. Step 6: Final answer
    x = 64,145.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.