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Finding the Third Proportional to 27,089 and 43,258

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Solution

The third proportional to 27,089 and 43,258 is: 69,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,089 : 43,258 = 43,258 : x
  2. Step 2: Convert to fraction form
    27,089/43,258 = 43,258/x
  3. Step 3: Cross multiply
    27,089x = 43,258 × 43,258
  4. Step 4: Simplify right side
    27,089x = 1,871,254,564
  5. Step 5: Solve for x
    x = 1,871,254,564/27,089
  6. Step 6: Final answer
    x = 69,078.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.