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Finding the Third Proportional to 23,616 and 55,712

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Solution

The third proportional to 23,616 and 55,712 is: 131,428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616 : 55,712 = 55,712 : x
  2. Step 2: Convert to fraction form
    23,616/55,712 = 55,712/x
  3. Step 3: Cross multiply
    23,616x = 55,712 × 55,712
  4. Step 4: Simplify right side
    23,616x = 3,103,826,944
  5. Step 5: Solve for x
    x = 3,103,826,944/23,616
  6. Step 6: Final answer
    x = 131,428.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.