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Finding the Third Proportional to 13,114 and 19,488

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Solution

The third proportional to 13,114 and 19,488 is: 28,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114 : 19,488 = 19,488 : x
  2. Step 2: Convert to fraction form
    13,114/19,488 = 19,488/x
  3. Step 3: Cross multiply
    13,114x = 19,488 × 19,488
  4. Step 4: Simplify right side
    13,114x = 379,782,144
  5. Step 5: Solve for x
    x = 379,782,144/13,114
  6. Step 6: Final answer
    x = 28,960.05

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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.