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Finding the Third Proportional to 13,069.50 and 19,726

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Solution

The third proportional to 13,069.50 and 19,726 is: 29,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069.50 : 19,726 = 19,726 : x
  2. Step 2: Convert to fraction form
    13,069.50/19,726 = 19,726/x
  3. Step 3: Cross multiply
    13,069.50x = 19,726 × 19,726
  4. Step 4: Simplify right side
    13,069.50x = 389,115,076
  5. Step 5: Solve for x
    x = 389,115,076/13,069.50
  6. Step 6: Final answer
    x = 29,772.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.