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Finding the Third Proportional to 13,362 and 19,655

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Solution

The third proportional to 13,362 and 19,655 is: 28,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,362 : 19,655 = 19,655 : x
  2. Step 2: Convert to fraction form
    13,362/19,655 = 19,655/x
  3. Step 3: Cross multiply
    13,362x = 19,655 × 19,655
  4. Step 4: Simplify right side
    13,362x = 386,319,025
  5. Step 5: Solve for x
    x = 386,319,025/13,362
  6. Step 6: Final answer
    x = 28,911.77

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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.