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Finding the Third Proportional to 13,133.25 and 19,652.63

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Solution

The third proportional to 13,133.25 and 19,652.63 is: 29,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.25 : 19,652.63 = 19,652.63 : x
  2. Step 2: Convert to fraction form
    13,133.25/19,652.63 = 19,652.63/x
  3. Step 3: Cross multiply
    13,133.25x = 19,652.63 × 19,652.63
  4. Step 4: Simplify right side
    13,133.25x = 386,225,669.39
  5. Step 5: Solve for x
    x = 386,225,669.39/13,133.25
  6. Step 6: Final answer
    x = 29,408.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.