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Finding the Third Proportional to 27,564 and 59,706

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Solution

The third proportional to 27,564 and 59,706 is: 129,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564 : 59,706 = 59,706 : x
  2. Step 2: Convert to fraction form
    27,564/59,706 = 59,706/x
  3. Step 3: Cross multiply
    27,564x = 59,706 × 59,706
  4. Step 4: Simplify right side
    27,564x = 3,564,806,436
  5. Step 5: Solve for x
    x = 3,564,806,436/27,564
  6. Step 6: Final answer
    x = 129,328.34

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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.