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Finding the Third Proportional to 13,368 and 19,968

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Solution

The third proportional to 13,368 and 19,968 is: 29,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,368 : 19,968 = 19,968 : x
  2. Step 2: Convert to fraction form
    13,368/19,968 = 19,968/x
  3. Step 3: Cross multiply
    13,368x = 19,968 × 19,968
  4. Step 4: Simplify right side
    13,368x = 398,721,024
  5. Step 5: Solve for x
    x = 398,721,024/13,368
  6. Step 6: Final answer
    x = 29,826.53

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Why These Related Problems?

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