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Finding the Third Proportional to 13,776 and 19,476

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Solution

The third proportional to 13,776 and 19,476 is: 27,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776 : 19,476 = 19,476 : x
  2. Step 2: Convert to fraction form
    13,776/19,476 = 19,476/x
  3. Step 3: Cross multiply
    13,776x = 19,476 × 19,476
  4. Step 4: Simplify right side
    13,776x = 379,314,576
  5. Step 5: Solve for x
    x = 379,314,576/13,776
  6. Step 6: Final answer
    x = 27,534.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.