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Finding the Third Proportional to 12,564 and 27,312

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Solution

The third proportional to 12,564 and 27,312 is: 59,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564 : 27,312 = 27,312 : x
  2. Step 2: Convert to fraction form
    12,564/27,312 = 27,312/x
  3. Step 3: Cross multiply
    12,564x = 27,312 × 27,312
  4. Step 4: Simplify right side
    12,564x = 745,945,344
  5. Step 5: Solve for x
    x = 745,945,344/12,564
  6. Step 6: Final answer
    x = 59,371.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.