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Finding the Third Proportional to 12,516 and 27,354

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Solution

The third proportional to 12,516 and 27,354 is: 59,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516 : 27,354 = 27,354 : x
  2. Step 2: Convert to fraction form
    12,516/27,354 = 27,354/x
  3. Step 3: Cross multiply
    12,516x = 27,354 × 27,354
  4. Step 4: Simplify right side
    12,516x = 748,241,316
  5. Step 5: Solve for x
    x = 748,241,316/12,516
  6. Step 6: Final answer
    x = 59,782.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.