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Finding the Third Proportional to 27,558 and 59,409

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Solution

The third proportional to 27,558 and 59,409 is: 128,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,558 : 59,409 = 59,409 : x
  2. Step 2: Convert to fraction form
    27,558/59,409 = 59,409/x
  3. Step 3: Cross multiply
    27,558x = 59,409 × 59,409
  4. Step 4: Simplify right side
    27,558x = 3,529,429,281
  5. Step 5: Solve for x
    x = 3,529,429,281/27,558
  6. Step 6: Final answer
    x = 128,072.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.