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Finding the Third Proportional to 13,440 and 19,761

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Solution

The third proportional to 13,440 and 19,761 is: 29,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440 : 19,761 = 19,761 : x
  2. Step 2: Convert to fraction form
    13,440/19,761 = 19,761/x
  3. Step 3: Cross multiply
    13,440x = 19,761 × 19,761
  4. Step 4: Simplify right side
    13,440x = 390,497,121
  5. Step 5: Solve for x
    x = 390,497,121/13,440
  6. Step 6: Final answer
    x = 29,054.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.