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Finding the Third Proportional to 27,032 and 59,246

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Solution

The third proportional to 27,032 and 59,246 is: 129,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,032 : 59,246 = 59,246 : x
  2. Step 2: Convert to fraction form
    27,032/59,246 = 59,246/x
  3. Step 3: Cross multiply
    27,032x = 59,246 × 59,246
  4. Step 4: Simplify right side
    27,032x = 3,510,088,516
  5. Step 5: Solve for x
    x = 3,510,088,516/27,032
  6. Step 6: Final answer
    x = 129,849.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.