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Finding the Third Proportional to 27,216 and 59,097

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Solution

The third proportional to 27,216 and 59,097 is: 128,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 59,097 = 59,097 : x
  2. Step 2: Convert to fraction form
    27,216/59,097 = 59,097/x
  3. Step 3: Cross multiply
    27,216x = 59,097 × 59,097
  4. Step 4: Simplify right side
    27,216x = 3,492,455,409
  5. Step 5: Solve for x
    x = 3,492,455,409/27,216
  6. Step 6: Final answer
    x = 128,323.61

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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.