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Finding the Third Proportional to 13,173 and 19,894.50

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Solution

The third proportional to 13,173 and 19,894.50 is: 30,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173 : 19,894.50 = 19,894.50 : x
  2. Step 2: Convert to fraction form
    13,173/19,894.50 = 19,894.50/x
  3. Step 3: Cross multiply
    13,173x = 19,894.50 × 19,894.50
  4. Step 4: Simplify right side
    13,173x = 395,791,130.25
  5. Step 5: Solve for x
    x = 395,791,130.25/13,173
  6. Step 6: Final answer
    x = 30,045.63

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