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Finding the Third Proportional to 13,101 and 19,468.50

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Solution

The third proportional to 13,101 and 19,468.50 is: 28,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101 : 19,468.50 = 19,468.50 : x
  2. Step 2: Convert to fraction form
    13,101/19,468.50 = 19,468.50/x
  3. Step 3: Cross multiply
    13,101x = 19,468.50 × 19,468.50
  4. Step 4: Simplify right side
    13,101x = 379,022,492.25
  5. Step 5: Solve for x
    x = 379,022,492.25/13,101
  6. Step 6: Final answer
    x = 28,930.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.