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Finding the Third Proportional to 19,309 and 29,168

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Solution

The third proportional to 19,309 and 29,168 is: 44,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309 : 29,168 = 29,168 : x
  2. Step 2: Convert to fraction form
    19,309/29,168 = 29,168/x
  3. Step 3: Cross multiply
    19,309x = 29,168 × 29,168
  4. Step 4: Simplify right side
    19,309x = 850,772,224
  5. Step 5: Solve for x
    x = 850,772,224/19,309
  6. Step 6: Final answer
    x = 44,060.92

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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.