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Finding the Third Proportional to 27,091 and 43,261

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Solution

The third proportional to 27,091 and 43,261 is: 69,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,091 : 43,261 = 43,261 : x
  2. Step 2: Convert to fraction form
    27,091/43,261 = 43,261/x
  3. Step 3: Cross multiply
    27,091x = 43,261 × 43,261
  4. Step 4: Simplify right side
    27,091x = 1,871,514,121
  5. Step 5: Solve for x
    x = 1,871,514,121/27,091
  6. Step 6: Final answer
    x = 69,082.50

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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.