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Finding the Third Proportional to 13,645 and 19,303.50

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Solution

The third proportional to 13,645 and 19,303.50 is: 27,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645 : 19,303.50 = 19,303.50 : x
  2. Step 2: Convert to fraction form
    13,645/19,303.50 = 19,303.50/x
  3. Step 3: Cross multiply
    13,645x = 19,303.50 × 19,303.50
  4. Step 4: Simplify right side
    13,645x = 372,625,112.25
  5. Step 5: Solve for x
    x = 372,625,112.25/13,645
  6. Step 6: Final answer
    x = 27,308.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.